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Finding the Fourth Proportional to 542,816,204.10, 814,224,306.15 and 542,816,204.10

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Solution

The fourth proportional to 542,816,204.10, 814,224,306.15 and 542,816,204.10 is: 814,224,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,816,204.10 : 814,224,306.15 = 542,816,204.10 : x
  2. Step 2: Convert to fraction form
    542,816,204.10/814,224,306.15 = 542,816,204.10/x
  3. Step 3: Cross multiply
    542,816,204.10x = 814,224,306.15 × 542,816,204.10
  4. Step 4: Simplify right side
    542,816,204.10x = 441,974,147,150,299,264
  5. Step 5: Solve for x
    x = 441,974,147,150,299,264/542,816,204.10
  6. Step 6: Final answer
    x = 814,224,306.15

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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.