they will never reach 1$ per coin
the max is 0.23$ per coin
$0.23 is just as arbitrary as $1.
Remember, it's only 100 billion coins. The Fed prints 85 billion dollars a month. Dogecoins are extremely rare compared to USD. It could go well above $1. Who knows?
DOGE currently has 9,734,079,466 coins
To reach $1 it would need to gain a marketcap of 9,73b$ (9,734,079,466$) -- that is more than Bitcoin's (8,4b$).