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Finding the Fourth Proportional to 99,647,912.70, 149,471,869.05 and 99,647,912.70

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Solution

The fourth proportional to 99,647,912.70, 149,471,869.05 and 99,647,912.70 is: 149,471,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,647,912.70 : 149,471,869.05 = 99,647,912.70 : x
  2. Step 2: Convert to fraction form
    99,647,912.70/149,471,869.05 = 99,647,912.70/x
  3. Step 3: Cross multiply
    99,647,912.70x = 149,471,869.05 × 99,647,912.70
  4. Step 4: Simplify right side
    99,647,912.70x = 14,894,559,758,200,234
  5. Step 5: Solve for x
    x = 14,894,559,758,200,234/99,647,912.70
  6. Step 6: Final answer
    x = 149,471,869.05

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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.