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Finding the Fourth Proportional to 497,665,331.60, 746,497,997.40 and 494,642,022.80

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Solution

The fourth proportional to 497,665,331.60, 746,497,997.40 and 494,642,022.80 is: 741,963,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,665,331.60 : 746,497,997.40 = 494,642,022.80 : x
  2. Step 2: Convert to fraction form
    497,665,331.60/746,497,997.40 = 494,642,022.80/x
  3. Step 3: Cross multiply
    497,665,331.60x = 746,497,997.40 × 494,642,022.80
  4. Step 4: Simplify right side
    497,665,331.60x = 369,249,279,450,085,120
  5. Step 5: Solve for x
    x = 369,249,279,450,085,120/497,665,331.60
  6. Step 6: Final answer
    x = 741,963,034.20

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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.