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Finding the Fourth Proportional to 80,710,195,529.80, 121,065,293,294.70 and 80,710,195,529.80

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Solution

The fourth proportional to 80,710,195,529.80, 121,065,293,294.70 and 80,710,195,529.80 is: 121,065,293,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,710,195,529.80 : 121,065,293,294.70 = 80,710,195,529.80 : x
  2. Step 2: Convert to fraction form
    80,710,195,529.80/121,065,293,294.70 = 80,710,195,529.80/x
  3. Step 3: Cross multiply
    80,710,195,529.80x = 121,065,293,294.70 × 80,710,195,529.80
  4. Step 4: Simplify right side
    80,710,195,529.80x = 9,771,203,493,687,822,647,296
  5. Step 5: Solve for x
    x = 9,771,203,493,687,822,647,296/80,710,195,529.80
  6. Step 6: Final answer
    x = 121,065,293,294.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.