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Finding the Fourth Proportional to 484,334,891.80, 726,502,337.70 and 458,825,723.80

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Solution

The fourth proportional to 484,334,891.80, 726,502,337.70 and 458,825,723.80 is: 688,238,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,334,891.80 : 726,502,337.70 = 458,825,723.80 : x
  2. Step 2: Convert to fraction form
    484,334,891.80/726,502,337.70 = 458,825,723.80/x
  3. Step 3: Cross multiply
    484,334,891.80x = 726,502,337.70 × 458,825,723.80
  4. Step 4: Simplify right side
    484,334,891.80x = 333,337,960,937,594,560
  5. Step 5: Solve for x
    x = 333,337,960,937,594,560/484,334,891.80
  6. Step 6: Final answer
    x = 688,238,585.70

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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.