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Finding the Fourth Proportional to 99,365,406, 149,048,109 and 27,561,822

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Solution

The fourth proportional to 99,365,406, 149,048,109 and 27,561,822 is: 41,342,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,365,406 : 149,048,109 = 27,561,822 : x
  2. Step 2: Convert to fraction form
    99,365,406/149,048,109 = 27,561,822/x
  3. Step 3: Cross multiply
    99,365,406x = 149,048,109 × 27,561,822
  4. Step 4: Simplify right side
    99,365,406x = 4,108,037,449,694,598
  5. Step 5: Solve for x
    x = 4,108,037,449,694,598/99,365,406
  6. Step 6: Final answer
    x = 41,342,733

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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.