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Finding the Fourth Proportional to 406,981,757.92, 610,674,553.76 and 161,333,200.48

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Solution

The fourth proportional to 406,981,757.92, 610,674,553.76 and 161,333,200.48 is: 242,079,843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,981,757.92 : 610,674,553.76 = 161,333,200.48 : x
  2. Step 2: Convert to fraction form
    406,981,757.92/610,674,553.76 = 161,333,200.48/x
  3. Step 3: Cross multiply
    406,981,757.92x = 610,674,553.76 × 161,333,200.48
  4. Step 4: Simplify right side
    406,981,757.92x = 98,522,080,209,796,608
  5. Step 5: Solve for x
    x = 98,522,080,209,796,608/406,981,757.92
  6. Step 6: Final answer
    x = 242,079,843.37

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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.