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Finding the Fourth Proportional to 524,902,854.40, 787,354,281.60 and 498,626,195.20

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Solution

The fourth proportional to 524,902,854.40, 787,354,281.60 and 498,626,195.20 is: 747,939,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,902,854.40 : 787,354,281.60 = 498,626,195.20 : x
  2. Step 2: Convert to fraction form
    524,902,854.40/787,354,281.60 = 498,626,195.20/x
  3. Step 3: Cross multiply
    524,902,854.40x = 787,354,281.60 × 498,626,195.20
  4. Step 4: Simplify right side
    524,902,854.40x = 392,595,469,708,637,376
  5. Step 5: Solve for x
    x = 392,595,469,708,637,376/524,902,854.40
  6. Step 6: Final answer
    x = 747,939,292.80

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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.