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Finding the Fourth Proportional to 497,738,425.20, 746,607,637.80 and 497,738,425.20

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Solution

The fourth proportional to 497,738,425.20, 746,607,637.80 and 497,738,425.20 is: 746,607,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,738,425.20 : 746,607,637.80 = 497,738,425.20 : x
  2. Step 2: Convert to fraction form
    497,738,425.20/746,607,637.80 = 497,738,425.20/x
  3. Step 3: Cross multiply
    497,738,425.20x = 746,607,637.80 × 497,738,425.20
  4. Step 4: Simplify right side
    497,738,425.20x = 371,615,309,880,863,936
  5. Step 5: Solve for x
    x = 371,615,309,880,863,936/497,738,425.20
  6. Step 6: Final answer
    x = 746,607,637.80

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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.