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Finding the Fourth Proportional to 80,197,856,141.40, 120,296,784,212.10 and 80,197,856,141.40

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Solution

The fourth proportional to 80,197,856,141.40, 120,296,784,212.10 and 80,197,856,141.40 is: 120,296,784,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,197,856,141.40 : 120,296,784,212.10 = 80,197,856,141.40 : x
  2. Step 2: Convert to fraction form
    80,197,856,141.40/120,296,784,212.10 = 80,197,856,141.40/x
  3. Step 3: Cross multiply
    80,197,856,141.40x = 120,296,784,212.10 × 80,197,856,141.40
  4. Step 4: Simplify right side
    80,197,856,141.40x = 9,647,544,194,515,035,226,112
  5. Step 5: Solve for x
    x = 9,647,544,194,515,035,226,112/80,197,856,141.40
  6. Step 6: Final answer
    x = 120,296,784,212.10

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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.