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Finding the Fourth Proportional to 832,347,737.88, 1,148,639,478.72 and 497,820,254.52

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Solution

The fourth proportional to 832,347,737.88, 1,148,639,478.72 and 497,820,254.52 is: 686,991,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,347,737.88 : 1,148,639,478.72 = 497,820,254.52 : x
  2. Step 2: Convert to fraction form
    832,347,737.88/1,148,639,478.72 = 497,820,254.52/x
  3. Step 3: Cross multiply
    832,347,737.88x = 1,148,639,478.72 × 497,820,254.52
  4. Step 4: Simplify right side
    832,347,737.88x = 571,815,997,648,110,528
  5. Step 5: Solve for x
    x = 571,815,997,648,110,528/832,347,737.88
  6. Step 6: Final answer
    x = 686,991,712.27

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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.