The Bible directly identifies Rome with Babylon

Even Peter called Rome "Babylon". Peter was referring to Rome, the city he wrote his epistle :

"The church that is at Babylon, elected together with you, saluteth you; and so doth Marcus my son" 1 Pet 5:13.

Do the prophecies of the woman, Babylon, fit Rome? Do they fit old Babylon on the Euphrates?

Rome =  Babylon

Yes—A great city-Rev 17:3 yes
Yes—full of names of blasphemy-Rev 17:3 yes
Yes—sits on seven hills or mountains-Rev 17:9 no
Yes—arrayed in purple and scarlet color-Rev 17:4 unknown
Yes—decked with gold-Rev 17:4 yes
Yes—decked with precious stones-Rev 17:4 yes
Yes—decked with pearls-Rev 17:4 unknown
Yes—having a golden cup-Rev 17:4 unknown
Yes—full of abominations-Rev 17:4 yes
Yes—upon her forehead a name written-Rev 17:5 yes
Yes—Mystery Babylon the Great, Mother of Harlots-Rev 17:5 yes
Yes—and Abominations of the Earth-Rev 17:5 yes
Yes—drunken with the blood of the saints-Rev 17:6 yes
Yes—drunken with the blood of the martyrs of Yahshua-Rev 17:6 no
Yes—apostles killed there-Rev 18:20 no
Yes—blood of prophets found there-Rev 18:20 unknown
Yes—kings have committed fornication with her-Rev 18:3,9 yes
Yes—kings have lived deliciously-Rev 18:9 yes
Yes—merchants have grown rich through her-Rev 18:3,15 yes
Yes—merchants were the great men of the earth-Rev 18:23 unknown
Yes—she had a abundance of delicacies-Rev 18:3 yes
Yes—great sin-Rev 18:4 yes
Yes—glorified herself-Rev 18:7 yes
Yes—lived deliciously-18:7 yes
Yes—she saith, I sit a queen, am no widow-Rev 18:7 perhaps
Yes—she saith, I...shall see no sorrow-Rev 18:7 perhaps
Yes—abundance of wealth-Rev 18:19 yes
Yes—is near the sea-Rev 18:17-19 no

Yes, every prophecy fits Rome. Yes, every prophecy fits the Roman Catholic Church. No other city in the world fits every single prophecy. No other city in the world has a worldwide religion fitting every prophecy in these verses that is so closely linked with a city also fitting every prophecy.

Several of the prophecies could not fit a rebuilt Babylon where it once was. In addition, it is written of old Babylon, IT SHALL NEVER BE INHABITED, NEITHER SHALL IT BE DWELT IN FROM GENERATION TO GENERATION...WILD BEASTS OF THE DESERT SHALL LIE THERE; AND THEIR HOUSES SHALL BE FULL OF DOLEFUL CREATURES; AND OWLS SHALL DWELL THERE, AND SATYRS SHALL DANCE THERE-Isa 13;20,21.