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Finding the Fourth Proportional to 99,652,001.70, 149,478,002.55 and 27,848,417.70

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Solution

The fourth proportional to 99,652,001.70, 149,478,002.55 and 27,848,417.70 is: 41,772,626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,652,001.70 : 149,478,002.55 = 27,848,417.70 : x
  2. Step 2: Convert to fraction form
    99,652,001.70/149,478,002.55 = 27,848,417.70/x
  3. Step 3: Cross multiply
    99,652,001.70x = 149,478,002.55 × 27,848,417.70
  4. Step 4: Simplify right side
    99,652,001.70x = 4,162,725,851,974,065.50
  5. Step 5: Solve for x
    x = 4,162,725,851,974,065.50/99,652,001.70
  6. Step 6: Final answer
    x = 41,772,626.55

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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.