How will the force of interaction between point charges change if the magnitude

How will the force of interaction between point charges change if the magnitude of each charge quadruples, and the distance between them halves?

Given:

q1, q2 – two point charges;

q3 = 4 * q1, q4 = 4 * q2 – the magnitude of each charge was quadrupled;

r1 = r / 2 – the distance between charges was reduced by 2 times.

It is required to determine F2 / F1 – how the force of interaction between charges will change after the changes made.

The force of interaction between charges in the first case will be equal to:

F1 = k * q1 * q2 / r ^ 2, where k is an electrical constant.

In the second case, the force of the Coulomb interaction will be equal to:

F2 = k * q3 * q4 / r1 ^ 2 = k * 4 * q1 * 4 * q2 / (r / 2) ^ 2 = 64 * q1 * q2 * k / r ^ 2.

F2 / F1 = (64 * q1 * q2 * k / r ^ 2) / (k * q1 * q2 / r ^ 2) = 64, that is, it will increase 64 times.

Answer: after the changes made, the strength of the Coulomb interaction will increase 64 times.