For this problem use G $=6\mathrm{.}67$ x $10^-11$ N m$^2/$ kg$^2$

Three balls are placed so that each ball occupies one corner of rectangle, as shown.$$The rectangle measures $2$L wide by L high.

a$.$ Use these numbers: m $=3\mathrm{.}00$ kg and L $=3\mathrm{.}00$ m$.$ Determine the magnitude of the force the $5$m ball exerts on the $2$m ball. Express the answer in piconewtons.

$\_\_\_\_\_\_\_$ pN

b$.$ Determine the magnitude of the $$net force, in piconewtons, acting on the ball at the top right corner of the rectangle $($the ball of mass m$).$

$\_\_\_\_\_\_\_$ pN

c$.$ If we doubled the values of all three of the masses, how would the magnitude of the force on the ball at the top right corner change? The ratio of the new force to the original force would be equal to $\_\_\_\_\_\_\_$