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Finding the Fourth Proportional to 71,287,245,600.80, 106,930,868,401.20 and 71,287,245,600.80

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Solution

The fourth proportional to 71,287,245,600.80, 106,930,868,401.20 and 71,287,245,600.80 is: 106,930,868,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,287,245,600.80 : 106,930,868,401.20 = 71,287,245,600.80 : x
  2. Step 2: Convert to fraction form
    71,287,245,600.80/106,930,868,401.20 = 71,287,245,600.80/x
  3. Step 3: Cross multiply
    71,287,245,600.80x = 106,930,868,401.20 × 71,287,245,600.80
  4. Step 4: Simplify right side
    71,287,245,600.80x = 7,622,807,078,023,168,262,144
  5. Step 5: Solve for x
    x = 7,622,807,078,023,168,262,144/71,287,245,600.80
  6. Step 6: Final answer
    x = 106,930,868,401.20

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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.