An electron that is initially 53 cm away from a proton is displaced to another point. If the change in the electrical potential energy as a result of this movement is 2.7 × 10 ⁻²⁸ J, what is the final distance between the electron and the proton? The Coulomb constant is 8.98755 × 10 ⁹  N · m ² /C ² , the acceleration due to gravity is 9.8 m/s ² and the fundamental charge is 1.602 × 10 ⁻¹⁹ C. Answer in units of m.