Planning a Budget\text{Planning a Budget}

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Darth Vader wants to build the Death Star, but only has $1\$1. He uses the Force to convince his local bank to double his money every day. Unfortunately, the Death Star costs approximately $200\$200 quintillion ($200,000,000,000,000,000,000\$200,000,000,000,000,000,000) to construct. About how long will it take Darth Vader to save up enough money?

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