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Finding the Fourth Proportional to 78,472,489,507.28, 117,708,734,260.91 and 78,472,489,507.28

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Solution

The fourth proportional to 78,472,489,507.28, 117,708,734,260.91 and 78,472,489,507.28 is: 117,708,734,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,472,489,507.28 : 117,708,734,260.91 = 78,472,489,507.28 : x
  2. Step 2: Convert to fraction form
    78,472,489,507.28/117,708,734,260.91 = 78,472,489,507.28/x
  3. Step 3: Cross multiply
    78,472,489,507.28x = 117,708,734,260.91 × 78,472,489,507.28
  4. Step 4: Simplify right side
    78,472,489,507.28x = 9,236,897,414,203,880,505,344
  5. Step 5: Solve for x
    x = 9,236,897,414,203,880,505,344/78,472,489,507.28
  6. Step 6: Final answer
    x = 117,708,734,260.91

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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.