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Finding the Fourth Proportional to 83,471,966,943.10, 125,207,950,414.65 and 83,471,966,943.10

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Solution

The fourth proportional to 83,471,966,943.10, 125,207,950,414.65 and 83,471,966,943.10 is: 125,207,950,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,471,966,943.10 : 125,207,950,414.65 = 83,471,966,943.10 : x
  2. Step 2: Convert to fraction form
    83,471,966,943.10/125,207,950,414.65 = 83,471,966,943.10/x
  3. Step 3: Cross multiply
    83,471,966,943.10x = 125,207,950,414.65 × 83,471,966,943.10
  4. Step 4: Simplify right side
    83,471,966,943.10x = 10,451,353,898,024,968,388,608
  5. Step 5: Solve for x
    x = 10,451,353,898,024,968,388,608/83,471,966,943.10
  6. Step 6: Final answer
    x = 125,207,950,414.65

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Double scale
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Similar ratio
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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.