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Finding the Fourth Proportional to 834,079,456.53, 1,150,953,577.32 and 494,929,494.27

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Solution

The fourth proportional to 834,079,456.53, 1,150,953,577.32 and 494,929,494.27 is: 682,957,561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,079,456.53 : 1,150,953,577.32 = 494,929,494.27 : x
  2. Step 2: Convert to fraction form
    834,079,456.53/1,150,953,577.32 = 494,929,494.27/x
  3. Step 3: Cross multiply
    834,079,456.53x = 1,150,953,577.32 × 494,929,494.27
  4. Step 4: Simplify right side
    834,079,456.53x = 569,640,871,951,234,880
  5. Step 5: Solve for x
    x = 569,640,871,951,234,880/834,079,456.53
  6. Step 6: Final answer
    x = 682,957,561.77

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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.