Answer
$4.597\times10^{12} \ m$
Work Step by Step
We know that the ratios of velocities is equal to the distance away. Thus, we first find the ratios:
$=\frac{38.8}{59}=.6576$
We multiply this by the maximum distance to find:
$v = .6576 \times 6.99\times10^{12}=4.597\times10^{12} \ m$
