Compared to the price of cigarettes a long time ago, they have gone up more than five times.
Cigarettes have gone up more than five times in price compared to years ago.
この場合、次のように言えますよ。
ーCompared to the price of cigarettes a long time ago, they have gone up more than five times.
「昔のタバコの値段と比べて、５倍以上高くなった」
to go up more than five times で「５倍以上上がる」
ーCigarettes have gone up more than five times in price compared to years ago.
「タバコの値段が昔と比べ、５倍以上高くなった」
ご参考まで！
Compared to long ago, the price of cigarettes are 5 times more than they were before.
ご質問ありがとうございます。
この場合、「[昔](https://eikaiwa.dmm.com/uknow/questions/41853/)に比べてタバコの値段は５倍以上高くなった」は英語で「Compared to long ago, the price of cigarettes are 5 times more than they were before.」と言えます。
ご参考になれば幸いです。
カナダ 
アメリカ合衆国 
