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Finding the Fourth Proportional to 497,665,332.60, 746,497,998.90 and 494,642,023.80

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Solution

The fourth proportional to 497,665,332.60, 746,497,998.90 and 494,642,023.80 is: 741,963,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,665,332.60 : 746,497,998.90 = 494,642,023.80 : x
  2. Step 2: Convert to fraction form
    497,665,332.60/746,497,998.90 = 494,642,023.80/x
  3. Step 3: Cross multiply
    497,665,332.60x = 746,497,998.90 × 494,642,023.80
  4. Step 4: Simplify right side
    497,665,332.60x = 369,249,280,938,546,176
  5. Step 5: Solve for x
    x = 369,249,280,938,546,176/497,665,332.60
  6. Step 6: Final answer
    x = 741,963,035.70

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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.