Planet X orbits a star in the Andromeda galaxy. When planet X is closest to the star, the distance between the center of the planet and the center of the star is $1\mathrm{.}5{10}^{11}m$ and the planet's orbital speed is $50,000\frac{m}{s}.$ What is the distance between their centers when the planet's orbital speed is $10,000\frac{m}{s}?$ Assume that the star is stationary at all times.

$3\mathrm{.}0{10}^{11}m$

$3\mathrm{.}0{10}^{10}m$

$1\mathrm{.}5{10}^{11}m$

$7\mathrm{.}5{10}^{10}m$

$7\mathrm{.}5{10}^{11}m$