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Finding the Fourth Proportional to 497,738,437.20, 746,607,655.80 and 497,738,437.20

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Solution

The fourth proportional to 497,738,437.20, 746,607,655.80 and 497,738,437.20 is: 746,607,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,738,437.20 : 746,607,655.80 = 497,738,437.20 : x
  2. Step 2: Convert to fraction form
    497,738,437.20/746,607,655.80 = 497,738,437.20/x
  3. Step 3: Cross multiply
    497,738,437.20x = 746,607,655.80 × 497,738,437.20
  4. Step 4: Simplify right side
    497,738,437.20x = 371,615,327,799,447,488
  5. Step 5: Solve for x
    x = 371,615,327,799,447,488/497,738,437.20
  6. Step 6: Final answer
    x = 746,607,655.80

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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.