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Finding the Fourth Proportional to 99,794,633.10, 149,691,949.65 and 99,794,633.10

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Solution

The fourth proportional to 99,794,633.10, 149,691,949.65 and 99,794,633.10 is: 149,691,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,794,633.10 : 149,691,949.65 = 99,794,633.10 : x
  2. Step 2: Convert to fraction form
    99,794,633.10/149,691,949.65 = 99,794,633.10/x
  3. Step 3: Cross multiply
    99,794,633.10x = 149,691,949.65 × 99,794,633.10
  4. Step 4: Simplify right side
    99,794,633.10x = 14,938,453,193,345,424
  5. Step 5: Solve for x
    x = 14,938,453,193,345,424/99,794,633.10
  6. Step 6: Final answer
    x = 149,691,949.65

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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.