Finding the Fourth Proportional to 201,816,911,296.45, 302,725,366,944.68 and 201,816,911,296.45
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Solution
The fourth proportional to 201,816,911,296.45, 302,725,366,944.68 and 201,816,911,296.45 is: 302,725,366,944.68
Step by Step Solution
- Step 1: Write the proportion equation
201,816,911,296.45 : 302,725,366,944.68 = 201,816,911,296.45 : x - Step 2: Convert to fraction form
201,816,911,296.45/302,725,366,944.68 = 201,816,911,296.45/x - Step 3: Cross multiply
201,816,911,296.45x = 302,725,366,944.68 × 201,816,911,296.45 - Step 4: Simplify right side
201,816,911,296.45x = 61,095,098,527,859,764,887,552 - Step 5: Solve for x
x = 61,095,098,527,859,764,887,552/201,816,911,296.45 - Step 6: Final answer
x = 302,725,366,944.68
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.