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Finding the Fourth Proportional to 80,493,312,008.70, 120,739,968,013.05 and 80,493,312,008.70

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Solution

The fourth proportional to 80,493,312,008.70, 120,739,968,013.05 and 80,493,312,008.70 is: 120,739,968,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,493,312,008.70 : 120,739,968,013.05 = 80,493,312,008.70 : x
  2. Step 2: Convert to fraction form
    80,493,312,008.70/120,739,968,013.05 = 80,493,312,008.70/x
  3. Step 3: Cross multiply
    80,493,312,008.70x = 120,739,968,013.05 × 80,493,312,008.70
  4. Step 4: Simplify right side
    80,493,312,008.70x = 9,718,759,917,194,890,444,800
  5. Step 5: Solve for x
    x = 9,718,759,917,194,890,444,800/80,493,312,008.70
  6. Step 6: Final answer
    x = 120,739,968,013.05

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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.