In laboratory conditions, we want to produce cordierite $(2Mg{O}_2*2A{l}_2{O}_3*5Si{O}_2)$ ceramic powder using the starting raw materials such as alumina, talc and kaolin. How many grams of Alumina $(A{l}_2{O}_3),$ Talc $(3$MgO$*4Si{O}_2*H_{2}O)$ and Kaolinite $(A{l}_2{O}_3*2Si{O}_2*2H_{2}O)$ should be used to synthesize $1kg$ of cordierite $)$ ceramic powder? $($ MgO:$40\frac{g}{m}ol,Si{O}_2$:$60\frac{g}{m}ol,A{l}_2{O}_3$:$102\frac{g}{m}ol,H_{2}O$:$18\frac{g}{m}ol)$