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Finding the Fourth Proportional to 78,167,493,163.90, 117,251,239,745.85 and 78,167,493,163.90

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Solution

The fourth proportional to 78,167,493,163.90, 117,251,239,745.85 and 78,167,493,163.90 is: 117,251,239,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,167,493,163.90 : 117,251,239,745.85 = 78,167,493,163.90 : x
  2. Step 2: Convert to fraction form
    78,167,493,163.90/117,251,239,745.85 = 78,167,493,163.90/x
  3. Step 3: Cross multiply
    78,167,493,163.90x = 117,251,239,745.85 × 78,167,493,163.90
  4. Step 4: Simplify right side
    78,167,493,163.90x = 9,165,235,481,292,529,729,536
  5. Step 5: Solve for x
    x = 9,165,235,481,292,529,729,536/78,167,493,163.90
  6. Step 6: Final answer
    x = 117,251,239,745.85

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Double scale
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1.5x scale

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.