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Finding the Fourth Proportional to 166,469,231.70, 233,439,561.90 and 166,469,231.70

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Solution

The fourth proportional to 166,469,231.70, 233,439,561.90 and 166,469,231.70 is: 233,439,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,469,231.70 : 233,439,561.90 = 166,469,231.70 : x
  2. Step 2: Convert to fraction form
    166,469,231.70/233,439,561.90 = 166,469,231.70/x
  3. Step 3: Cross multiply
    166,469,231.70x = 233,439,561.90 × 166,469,231.70
  4. Step 4: Simplify right side
    166,469,231.70x = 38,860,504,517,877,592
  5. Step 5: Solve for x
    x = 38,860,504,517,877,592/166,469,231.70
  6. Step 6: Final answer
    x = 233,439,561.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.