Given that radius of each of smaller ball = 1/4 Radius of original ball.

Let radius of smaller ball be r.

Radius of bigger ball be 4r

Curved surface area of sphere = 4r^{2}

Surface area of big ball (S_{1}) = 4π(4r)^{2} ....…(3)

Surface area of each small ball (S_{2}) = 4πr^{2}

Total surface area of 64 small balls

Therefore, Total surface area of small balls is equal to 4 times surface area of big ball.