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Finding the Fourth Proportional to 99,648,003.20, 149,472,004.80 and 27,844,419.20

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Solution

The fourth proportional to 99,648,003.20, 149,472,004.80 and 27,844,419.20 is: 41,766,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,648,003.20 : 149,472,004.80 = 27,844,419.20 : x
  2. Step 2: Convert to fraction form
    99,648,003.20/149,472,004.80 = 27,844,419.20/x
  3. Step 3: Cross multiply
    99,648,003.20x = 149,472,004.80 × 27,844,419.20
  4. Step 4: Simplify right side
    99,648,003.20x = 4,161,961,160,315,612.50
  5. Step 5: Solve for x
    x = 4,161,961,160,315,612.50/99,648,003.20
  6. Step 6: Final answer
    x = 41,766,628.80

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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.