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Finding the Fourth Proportional to 933,764,596.48, 1,288,755,154.56 and 542,850,768.64

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Solution

The fourth proportional to 933,764,596.48, 1,288,755,154.56 and 542,850,768.64 is: 749,227,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,764,596.48 : 1,288,755,154.56 = 542,850,768.64 : x
  2. Step 2: Convert to fraction form
    933,764,596.48/1,288,755,154.56 = 542,850,768.64/x
  3. Step 3: Cross multiply
    933,764,596.48x = 1,288,755,154.56 × 542,850,768.64
  4. Step 4: Simplify right side
    933,764,596.48x = 699,601,726,241,657,984
  5. Step 5: Solve for x
    x = 699,601,726,241,657,984/933,764,596.48
  6. Step 6: Final answer
    x = 749,227,084.51

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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.