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Finding the Fourth Proportional to 80,657,143,605.80, 120,985,715,408.70 and 80,657,143,605.80

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Solution

The fourth proportional to 80,657,143,605.80, 120,985,715,408.70 and 80,657,143,605.80 is: 120,985,715,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,657,143,605.80 : 120,985,715,408.70 = 80,657,143,605.80 : x
  2. Step 2: Convert to fraction form
    80,657,143,605.80/120,985,715,408.70 = 80,657,143,605.80/x
  3. Step 3: Cross multiply
    80,657,143,605.80x = 120,985,715,408.70 × 80,657,143,605.80
  4. Step 4: Simplify right side
    80,657,143,605.80x = 9,758,362,221,969,965,842,432
  5. Step 5: Solve for x
    x = 9,758,362,221,969,965,842,432/80,657,143,605.80
  6. Step 6: Final answer
    x = 120,985,715,408.70

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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.