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Finding the Fourth Proportional to 664,704,932.30, 997,057,398.45 and 551,458,724.30

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Solution

The fourth proportional to 664,704,932.30, 997,057,398.45 and 551,458,724.30 is: 827,188,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,704,932.30 : 997,057,398.45 = 551,458,724.30 : x
  2. Step 2: Convert to fraction form
    664,704,932.30/997,057,398.45 = 551,458,724.30/x
  3. Step 3: Cross multiply
    664,704,932.30x = 997,057,398.45 × 551,458,724.30
  4. Step 4: Simplify right side
    664,704,932.30x = 549,836,001,003,113,792
  5. Step 5: Solve for x
    x = 549,836,001,003,113,792/664,704,932.30
  6. Step 6: Final answer
    x = 827,188,086.45

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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.