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Finding the Fourth Proportional to 120,145,004.70, 180,217,507.05 and 120,145,004.70

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Solution

The fourth proportional to 120,145,004.70, 180,217,507.05 and 120,145,004.70 is: 180,217,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,145,004.70 : 180,217,507.05 = 120,145,004.70 : x
  2. Step 2: Convert to fraction form
    120,145,004.70/180,217,507.05 = 120,145,004.70/x
  3. Step 3: Cross multiply
    120,145,004.70x = 180,217,507.05 × 120,145,004.70
  4. Step 4: Simplify right side
    120,145,004.70x = 21,652,233,231,544,536
  5. Step 5: Solve for x
    x = 21,652,233,231,544,536/120,145,004.70
  6. Step 6: Final answer
    x = 180,217,507.05

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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.