$3\mathrm{.}3.$ PageRank

$0/20$ points $($graded$)$

Consider the network of webpages shown on the image.

Note. A double headed arrow i $$ j indicates that there is a link i $->$ j and a link j $->$ i $.$

Find the PageRank of the highest ranked page. There may be more than one page with the same highest ranking, but in any case compute the ranking which is the highest.

Enter your answer either as a fraction or in the decimal form, with precision of at least $3$ decimal digits: