Finding the Fourth Proportional to 417,311,202,911.20, 625,966,804,366.80 and 417,311,202,911.20
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Solution
The fourth proportional to 417,311,202,911.20, 625,966,804,366.80 and 417,311,202,911.20 is: 625,966,804,366.80
Step by Step Solution
- Step 1: Write the proportion equation
417,311,202,911.20 : 625,966,804,366.80 = 417,311,202,911.20 : x - Step 2: Convert to fraction form
417,311,202,911.20/625,966,804,366.80 = 417,311,202,911.20/x - Step 3: Cross multiply
417,311,202,911.20x = 625,966,804,366.80 × 417,311,202,911.20 - Step 4: Simplify right side
417,311,202,911.20x = 261,222,960,112,789,125,857,280 - Step 5: Solve for x
x = 261,222,960,112,789,125,857,280/417,311,202,911.20 - Step 6: Final answer
x = 625,966,804,366.80
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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.