Mg(OH)2 is a sparingly soluble salt with a solubility product, Ksp, of 5.61*10^(-11). It is used to control the pH and provide nutrients in the biological (microbial) treatment of municipal wastewater streams. What is the ratio of solubility of Mg(OH)2 dissolved in pure H2O to Mg(OH)2 dissolved in a 0.200 NaOH solution?
Express your answer numerically as the ratio of molar solubility in H2O to the molar solubility in NaOH.