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Finding the Fourth Proportional to 218,376,349,737.10, 327,564,524,605.65 and 218,376,349,737.10

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Solution

The fourth proportional to 218,376,349,737.10, 327,564,524,605.65 and 218,376,349,737.10 is: 327,564,524,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,376,349,737.10 : 327,564,524,605.65 = 218,376,349,737.10 : x
  2. Step 2: Convert to fraction form
    218,376,349,737.10/327,564,524,605.65 = 218,376,349,737.10/x
  3. Step 3: Cross multiply
    218,376,349,737.10x = 327,564,524,605.65 × 218,376,349,737.10
  4. Step 4: Simplify right side
    218,376,349,737.10x = 71,532,345,186,750,333,714,432
  5. Step 5: Solve for x
    x = 71,532,345,186,750,333,714,432/218,376,349,737.10
  6. Step 6: Final answer
    x = 327,564,524,605.65

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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.