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Finding the Fourth Proportional to 329,384,996.82, 494,078,649.48 and 83,741,658.03

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Solution

The fourth proportional to 329,384,996.82, 494,078,649.48 and 83,741,658.03 is: 125,612,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,384,996.82 : 494,078,649.48 = 83,741,658.03 : x
  2. Step 2: Convert to fraction form
    329,384,996.82/494,078,649.48 = 83,741,658.03/x
  3. Step 3: Cross multiply
    329,384,996.82x = 494,078,649.48 × 83,741,658.03
  4. Step 4: Simplify right side
    329,384,996.82x = 41,374,965,304,678,400
  5. Step 5: Solve for x
    x = 41,374,965,304,678,400/329,384,996.82
  6. Step 6: Final answer
    x = 125,612,780.50

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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.