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Finding the Fourth Proportional to 707,374,350.78, 976,187,280.22 and 406,009,512.42

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Solution

The fourth proportional to 707,374,350.78, 976,187,280.22 and 406,009,512.42 is: 560,299,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,374,350.78 : 976,187,280.22 = 406,009,512.42 : x
  2. Step 2: Convert to fraction form
    707,374,350.78/976,187,280.22 = 406,009,512.42/x
  3. Step 3: Cross multiply
    707,374,350.78x = 976,187,280.22 × 406,009,512.42
  4. Step 4: Simplify right side
    707,374,350.78x = 396,341,321,672,728,128
  5. Step 5: Solve for x
    x = 396,341,321,672,728,128/707,374,350.78
  6. Step 6: Final answer
    x = 560,299,254.89

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