Jack inherited a perpetuity$-$due with annual payments of $15000.$ He immediately exchanged the perpetuity for a $25-$year annuity$-$due having the same present value. The annuity$-$due has annual payments of X$.$ All the present values are based on an annual effective interest rate of $10\%$ for the first $10$ years and $8\%$ thereafter. Calculate X$.$