Gold price and US debt

As the debt limit and debt have gone up, so has the price of gold.  When the debt doubled gold went up by about a factor of 4.   They are raising the debt limit by $2.4 trillion from $14.3 trillion, or about 17%. So one reasonable guess is that gold will go up by 1.17^2 or 1.3689.   So from $1,650 that would get to $2,259.