Hello, can anyone tell me how to scale coordinates between worlds?

(I don’t know if this is considered a difficult question, so I also wrote it here, sorry)

So - the problem is that I need to make a coordinate ratio similar to what with the normal world and the nether, that is, 1 block there is equal to 8 blocks in the normal world, I had the idea to do this by multiplying the coordinates when leaving the world, but I it didn’t work out, if you know how to do something like that, could you please tell me how to do it (at least approximately), I would be very grateful.

(I used a translator, sorry if there are mistakes)