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Finding the Fourth Proportional to 551,205,890.80, 826,808,836.20 and 467,982,230.20

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Solution

The fourth proportional to 551,205,890.80, 826,808,836.20 and 467,982,230.20 is: 701,973,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,205,890.80 : 826,808,836.20 = 467,982,230.20 : x
  2. Step 2: Convert to fraction form
    551,205,890.80/826,808,836.20 = 467,982,230.20/x
  3. Step 3: Cross multiply
    551,205,890.80x = 826,808,836.20 × 467,982,230.20
  4. Step 4: Simplify right side
    551,205,890.80x = 386,931,843,113,942,528
  5. Step 5: Solve for x
    x = 386,931,843,113,942,528/551,205,890.80
  6. Step 6: Final answer
    x = 701,973,345.30

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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.