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Finding the Fourth Proportional to 827,096,108.70, 1,240,644,163.05 and 827,096,108.70

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Solution

The fourth proportional to 827,096,108.70, 1,240,644,163.05 and 827,096,108.70 is: 1,240,644,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,096,108.70 : 1,240,644,163.05 = 827,096,108.70 : x
  2. Step 2: Convert to fraction form
    827,096,108.70/1,240,644,163.05 = 827,096,108.70/x
  3. Step 3: Cross multiply
    827,096,108.70x = 1,240,644,163.05 × 827,096,108.70
  4. Step 4: Simplify right side
    827,096,108.70x = 1,026,131,959,540,023,296
  5. Step 5: Solve for x
    x = 1,026,131,959,540,023,296/827,096,108.70
  6. Step 6: Final answer
    x = 1,240,644,163.05

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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.