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Finding the Fourth Proportional to 499,921,331.60, 698,167,995.40 and 499,921,331.60

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Solution

The fourth proportional to 499,921,331.60, 698,167,995.40 and 499,921,331.60 is: 698,167,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,921,331.60 : 698,167,995.40 = 499,921,331.60 : x
  2. Step 2: Convert to fraction form
    499,921,331.60/698,167,995.40 = 499,921,331.60/x
  3. Step 3: Cross multiply
    499,921,331.60x = 698,167,995.40 × 499,921,331.60
  4. Step 4: Simplify right side
    499,921,331.60x = 349,029,073,940,870,656
  5. Step 5: Solve for x
    x = 349,029,073,940,870,656/499,921,331.60
  6. Step 6: Final answer
    x = 698,167,995.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.