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Finding the Fourth Proportional to 165,012,977,251.20, 247,519,465,876.80 and 165,012,977,251.20

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Solution

The fourth proportional to 165,012,977,251.20, 247,519,465,876.80 and 165,012,977,251.20 is: 247,519,465,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,012,977,251.20 : 247,519,465,876.80 = 165,012,977,251.20 : x
  2. Step 2: Convert to fraction form
    165,012,977,251.20/247,519,465,876.80 = 165,012,977,251.20/x
  3. Step 3: Cross multiply
    165,012,977,251.20x = 247,519,465,876.80 × 165,012,977,251.20
  4. Step 4: Simplify right side
    165,012,977,251.20x = 40,843,923,991,957,577,138,176
  5. Step 5: Solve for x
    x = 40,843,923,991,957,577,138,176/165,012,977,251.20
  6. Step 6: Final answer
    x = 247,519,465,876.80

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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.