Can the president veto a bill passed by the senate with 69 votes?

I assume the House of Representatives has approved the bill then sent it to the Senate for its vote. If the Senate then passes the bill by 69 votes or even 100 votes, the President can veto it. The Constitution does not prohibit a veto if a certain percentage of Congressmen approve it on the first try. After the bill is vetoed it goes back to the House where it originated and if that House votes by 2/3 majority to pass it, it goes to the other House for its approval. If 2/3 of that House also approves it, the bill becomes law without the President's approval. At that point in the process the President does not even have the right to veto the bill.