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Finding the Fourth Proportional to 101,376,006.80, 152,064,010.20 and 29,572,422.80

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Solution

The fourth proportional to 101,376,006.80, 152,064,010.20 and 29,572,422.80 is: 44,358,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,376,006.80 : 152,064,010.20 = 29,572,422.80 : x
  2. Step 2: Convert to fraction form
    101,376,006.80/152,064,010.20 = 29,572,422.80/x
  3. Step 3: Cross multiply
    101,376,006.80x = 152,064,010.20 × 29,572,422.80
  4. Step 4: Simplify right side
    101,376,006.80x = 4,496,901,202,297,912.50
  5. Step 5: Solve for x
    x = 4,496,901,202,297,912.50/101,376,006.80
  6. Step 6: Final answer
    x = 44,358,634.20

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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.