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Finding the Fourth Proportional to 99,885,726.60, 149,838,569.10 and 27,103,662.60

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Solution

The fourth proportional to 99,885,726.60, 149,838,569.10 and 27,103,662.60 is: 40,658,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,885,726.60 : 149,838,569.10 = 27,103,662.60 : x
  2. Step 2: Convert to fraction form
    99,885,726.60/149,838,569.10 = 27,103,662.60/x
  3. Step 3: Cross multiply
    99,885,726.60x = 149,838,569.10 × 27,103,662.60
  4. Step 4: Simplify right side
    99,885,726.60x = 4,061,174,021,353,185.50
  5. Step 5: Solve for x
    x = 4,061,174,021,353,185.50/99,885,726.60
  6. Step 6: Final answer
    x = 40,658,201.72

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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.