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Finding the Fourth Proportional to 343,826,253,904.20, 515,739,380,856.30 and 343,826,253,904.20

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Solution

The fourth proportional to 343,826,253,904.20, 515,739,380,856.30 and 343,826,253,904.20 is: 515,739,380,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,826,253,904.20 : 515,739,380,856.30 = 343,826,253,904.20 : x
  2. Step 2: Convert to fraction form
    343,826,253,904.20/515,739,380,856.30 = 343,826,253,904.20/x
  3. Step 3: Cross multiply
    343,826,253,904.20x = 515,739,380,856.30 × 343,826,253,904.20
  4. Step 4: Simplify right side
    343,826,253,904.20x = 177,324,739,310,693,098,979,328
  5. Step 5: Solve for x
    x = 177,324,739,310,693,098,979,328/343,826,253,904.20
  6. Step 6: Final answer
    x = 515,739,380,856.30

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Double scale
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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.