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Finding the Fourth Proportional to 166,471,847.70, 233,443,224.30 and 166,471,847.70

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Solution

The fourth proportional to 166,471,847.70, 233,443,224.30 and 166,471,847.70 is: 233,443,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,471,847.70 : 233,443,224.30 = 166,471,847.70 : x
  2. Step 2: Convert to fraction form
    166,471,847.70/233,443,224.30 = 166,471,847.70/x
  3. Step 3: Cross multiply
    166,471,847.70x = 233,443,224.30 × 166,471,847.70
  4. Step 4: Simplify right side
    166,471,847.70x = 38,861,724,882,266,536
  5. Step 5: Solve for x
    x = 38,861,724,882,266,536/166,471,847.70
  6. Step 6: Final answer
    x = 233,443,224.30

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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.