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Finding the Fourth Proportional to 343,826,253,910.20, 515,739,380,865.30 and 343,826,253,910.20

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Solution

The fourth proportional to 343,826,253,910.20, 515,739,380,865.30 and 343,826,253,910.20 is: 515,739,380,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,826,253,910.20 : 515,739,380,865.30 = 343,826,253,910.20 : x
  2. Step 2: Convert to fraction form
    343,826,253,910.20/515,739,380,865.30 = 343,826,253,910.20/x
  3. Step 3: Cross multiply
    343,826,253,910.20x = 515,739,380,865.30 × 343,826,253,910.20
  4. Step 4: Simplify right side
    343,826,253,910.20x = 177,324,739,316,881,979,080,704
  5. Step 5: Solve for x
    x = 177,324,739,316,881,979,080,704/343,826,253,910.20
  6. Step 6: Final answer
    x = 515,739,380,865.30

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Double scale
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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.