Dogecoin will never, EVER come even close to bitcoin in any way (price, market cap, adoption, any metric you want). Doge coin is a joke. Literally a joke. 100billion of them, with 5 billion more being created annually, it may continue to be used by childish meme lovers to tip each other every time they rhyme shibe with something, but other than that there is no future for it.
Ask yourself this; what problem does dogecoin solve?
Mods instead of moving this to off topic it probably belongs in the trash.
Ask yourself this; What can a Bitcoin do that a Dog, Lite, PP coin can't?
Don't hurt yourself over this, it's a rhetorical question, and I'll answer it for you. NOTHING! Every one of these "Coins" can solve the exact same problems in exactly the same way. The only real difference is the total number of supply and the subtle change to the hashing algorithm. Otherwise they're identical.
I think that's an argument for my topic subject. Since they are all basically one in the same, there's no reason for one to be worth hundreds of dollars more than the other. Let's set the price aside for a second, why should someone who knows nothing of the history of either coin choose one over the other? Do they not offer the save advantages? I believe the difference in price is #1 because bitcoin got a head start and #2 bitcoin for whatever reason was the chosen crypto for illegal activities on the darknet. Silk Road helped make bitcoin what it is today. One could even argue that there are other currencies that could process faster than the bitcoin block chain so for using them as payment methods it would be an advantage to use a crypto that processes faster.