已知\(\{a_{n}\}\)为等差数列，\(\{b_{n}\}\)为等比数列，且满足\(a_{1}=1\)，\(b_{1}=2\)，\(a_{4}=4(a_{3}-a_{2})\)，\(b_{4}=4(b_{3}-b_{2}).\)
\((1)\)求\(\{a_{n}\}\)和\(\{b_{n}\}\)的通项公式；
\((2)\)对任意的正整数\(n\)，设\(c_{n}=a_{n}b_{n}\)，求数列\(\{c_{n}\}\)的前\(n\)项和\(S_{n}.\)