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Finding the Fourth Proportional to 497,692,468.80, 747,105,573.60 and 293,335,689.60

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Solution

The fourth proportional to 497,692,468.80, 747,105,573.60 and 293,335,689.60 is: 440,337,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,692,468.80 : 747,105,573.60 = 293,335,689.60 : x
  2. Step 2: Convert to fraction form
    497,692,468.80/747,105,573.60 = 293,335,689.60/x
  3. Step 3: Cross multiply
    497,692,468.80x = 747,105,573.60 × 293,335,689.60
  4. Step 4: Simplify right side
    497,692,468.80x = 219,152,728,635,959,584
  5. Step 5: Solve for x
    x = 219,152,728,635,959,584/497,692,468.80
  6. Step 6: Final answer
    x = 440,337,642.97

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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.