That's actually not a problem for my math, but for Inflationary Theory. Inflation is already coming up with 123 AU's (instead of 1 AU) between the Earth and Sun (with distance 0 at t=0).
Starting with a larger distance just increases Inflationary Theory's error...disproving it further.
That's quite a trick, considering that the expansion rate at distance d = 0 is zero.
Here's the only tip I'm going to give you, in the only post I'm going to make to you on this ridiculous waste of time - the rate changes as a function of distance. That means you cannot solve this algebraically, as you've attempted so hopelessly to do. You're going to have to go purchase a calculus book and learn how to solve integrals to find the distance between two points as a function of time and the Hubble constant.