How can we live biblically if humanity has advanced at an accelerating pace?

Humanity has not advanced since Christ's time.  We've only got a more sophisticated technology.  Human nature and needs have not changed in the past 2,000 years.

There is nothing new under the sun.  Man is still committing the same sins he committed 3,000 years ago.

GOD has a wonderful purpose for humans. He created the first man and woman, Adam and Eve, to live in a beautiful garden. His purpose was for them to have children, to make the whole earth a paradise, and to take care of the animals.​—Genesis 1:28; 2:8, 9, 15

Do you think that we will ever live in a paradise? Jehovah tells us: “I have purposed it, and I will also carry it out.” (Isaiah 46:9-11; 55:11) Yes, he will do what he has purposed, and nothing will stop him. Jehovah says that he created the earth for a reason. He “did not create it simply for nothing.” (Isaiah 45:18) He wants people to live all over the earth. What kind of people does God want to live here, and for how long? The Bible says: “The righteous [or, obedient] will possess the earth, and they will live forever on it.”​—Psalm 37:29; Revelation 21:3, 4.

A big role of theologians and religious figures is to keep interpreting their faiths in ways that make it seem like it's sticking to old ways while subtly modernizing it just a little. You know how organizations like the Vatican always seem stuck about 50 years in the past? It isn't a quirk. It's intentional. Appeal to your grandfather's sensibilities while forgetting about what your great grandfather believed.

Indeed, Morpheus. One cannot.

-𝒞ℴ𝓇𝓋𝓊𝓈 ℬ𝓁𝒶𝒸𝓀𝓉𝒽ℴ𝓇𝓃ℯ

We shouldn't. There are important lessons from our past even some traditions we can keep with us. However we shouldn't try to keep the past alive. We should continue to progress as a species, better ourselves, be moral, decent and curious about the universe.