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Finding the Fourth Proportional to 399,181,843.80, 598,772,765.70 and 194,841,005.40

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Solution

The fourth proportional to 399,181,843.80, 598,772,765.70 and 194,841,005.40 is: 292,261,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,181,843.80 : 598,772,765.70 = 194,841,005.40 : x
  2. Step 2: Convert to fraction form
    399,181,843.80/598,772,765.70 = 194,841,005.40/x
  3. Step 3: Cross multiply
    399,181,843.80x = 598,772,765.70 × 194,841,005.40
  4. Step 4: Simplify right side
    399,181,843.80x = 116,665,487,675,126,640
  5. Step 5: Solve for x
    x = 116,665,487,675,126,640/399,181,843.80
  6. Step 6: Final answer
    x = 292,261,508.10

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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.