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Finding the Fourth Proportional to 100,602,677.70, 150,904,016.55 and 54,686,175.30

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Solution

The fourth proportional to 100,602,677.70, 150,904,016.55 and 54,686,175.30 is: 82,029,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,602,677.70 : 150,904,016.55 = 54,686,175.30 : x
  2. Step 2: Convert to fraction form
    100,602,677.70/150,904,016.55 = 54,686,175.30/x
  3. Step 3: Cross multiply
    100,602,677.70x = 150,904,016.55 × 54,686,175.30
  4. Step 4: Simplify right side
    100,602,677.70x = 8,252,363,502,527,401
  5. Step 5: Solve for x
    x = 8,252,363,502,527,401/100,602,677.70
  6. Step 6: Final answer
    x = 82,029,262.95

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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.