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Finding the Fourth Proportional to 546,264,898.90, 819,397,348.35 and 483,129,708.10

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Solution

The fourth proportional to 546,264,898.90, 819,397,348.35 and 483,129,708.10 is: 724,694,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,264,898.90 : 819,397,348.35 = 483,129,708.10 : x
  2. Step 2: Convert to fraction form
    546,264,898.90/819,397,348.35 = 483,129,708.10/x
  3. Step 3: Cross multiply
    546,264,898.90x = 819,397,348.35 × 483,129,708.10
  4. Step 4: Simplify right side
    546,264,898.90x = 395,875,201,726,249,536
  5. Step 5: Solve for x
    x = 395,875,201,726,249,536/546,264,898.90
  6. Step 6: Final answer
    x = 724,694,562.15

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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.