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Finding the Fourth Proportional to 80,657,165,769.80, 120,985,748,654.70 and 80,657,165,769.80

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Solution

The fourth proportional to 80,657,165,769.80, 120,985,748,654.70 and 80,657,165,769.80 is: 120,985,748,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,657,165,769.80 : 120,985,748,654.70 = 80,657,165,769.80 : x
  2. Step 2: Convert to fraction form
    80,657,165,769.80/120,985,748,654.70 = 80,657,165,769.80/x
  3. Step 3: Cross multiply
    80,657,165,769.80x = 120,985,748,654.70 × 80,657,165,769.80
  4. Step 4: Simplify right side
    80,657,165,769.80x = 9,758,367,585,025,495,400,448
  5. Step 5: Solve for x
    x = 9,758,367,585,025,495,400,448/80,657,165,769.80
  6. Step 6: Final answer
    x = 120,985,748,654.70

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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.