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Finding the Fourth Proportional to 531,442,882.60, 797,164,323.90 and 469,025,137.15

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Solution

The fourth proportional to 531,442,882.60, 797,164,323.90 and 469,025,137.15 is: 703,537,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,442,882.60 : 797,164,323.90 = 469,025,137.15 : x
  2. Step 2: Convert to fraction form
    531,442,882.60/797,164,323.90 = 469,025,137.15/x
  3. Step 3: Cross multiply
    531,442,882.60x = 797,164,323.90 × 469,025,137.15
  4. Step 4: Simplify right side
    531,442,882.60x = 373,890,106,348,284,480
  5. Step 5: Solve for x
    x = 373,890,106,348,284,480/531,442,882.60
  6. Step 6: Final answer
    x = 703,537,705.73

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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.