ΔE 17.6, loose: different enough that you should pick on purpose. Gold Brown is a little darker, much more muted, warmer than Rich Gold.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Gold Brown is a little darker, much more muted, warmer than Rich Gold.
The same difference applies the other way round: Rich Gold is a little lighter, much more saturated, cooler.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Rich Gold on the colour wheel See Gold Brown on the colour wheel
All matches: Rich Gold equivalents · Gold Brown equivalents