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Finding the Fourth Proportional to 706,387,606.82, 974,805,375.75 and 393,121,737.75

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Solution

The fourth proportional to 706,387,606.82, 974,805,375.75 and 393,121,737.75 is: 542,502,699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,387,606.82 : 974,805,375.75 = 393,121,737.75 : x
  2. Step 2: Convert to fraction form
    706,387,606.82/974,805,375.75 = 393,121,737.75/x
  3. Step 3: Cross multiply
    706,387,606.82x = 974,805,375.75 × 393,121,737.75
  4. Step 4: Simplify right side
    706,387,606.82x = 383,217,183,282,881,728
  5. Step 5: Solve for x
    x = 383,217,183,282,881,728/706,387,606.82
  6. Step 6: Final answer
    x = 542,502,699.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.