\(\frac{2}{7}\)x \(\left(\frac{707}{202}+\frac{707}{3030}+\frac{707}{4242}+\frac{707}{5656}+\frac{707}{7272}\right)\)
\(=\frac{2}{7}\)x \(\left(\frac{7}{2}+\frac{7}{30}+\frac{1}{6}+\frac{1}{8}+\frac{7}{72}\right)\)
\(=\frac{2}{7}\)x \(\left(\frac{1260}{360}+\frac{84}{360}+\frac{60}{360}+\frac{45}{360}+\frac{35}{360}\right)\)
\(=\frac{2}{7}\)x \(\frac{371}{90}=\frac{53}{45}\)