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Finding the Fourth Proportional to 467,896,499.80, 703,356,404.10 and 431,616,794.20

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Solution

The fourth proportional to 467,896,499.80, 703,356,404.10 and 431,616,794.20 is: 648,819,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,896,499.80 : 703,356,404.10 = 431,616,794.20 : x
  2. Step 2: Convert to fraction form
    467,896,499.80/703,356,404.10 = 431,616,794.20/x
  3. Step 3: Cross multiply
    467,896,499.80x = 703,356,404.10 × 431,616,794.20
  4. Step 4: Simplify right side
    467,896,499.80x = 303,580,436,317,681,728
  5. Step 5: Solve for x
    x = 303,580,436,317,681,728/467,896,499.80
  6. Step 6: Final answer
    x = 648,819,635.21

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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.