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Finding the Fourth Proportional to 83,471,966,983.60, 125,207,950,475.40 and 83,471,966,983.60

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Solution

The fourth proportional to 83,471,966,983.60, 125,207,950,475.40 and 83,471,966,983.60 is: 125,207,950,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,471,966,983.60 : 125,207,950,475.40 = 83,471,966,983.60 : x
  2. Step 2: Convert to fraction form
    83,471,966,983.60/125,207,950,475.40 = 83,471,966,983.60/x
  3. Step 3: Cross multiply
    83,471,966,983.60x = 125,207,950,475.40 × 83,471,966,983.60
  4. Step 4: Simplify right side
    83,471,966,983.60x = 10,451,353,908,166,812,237,824
  5. Step 5: Solve for x
    x = 10,451,353,908,166,812,237,824/83,471,966,983.60
  6. Step 6: Final answer
    x = 125,207,950,475.40

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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.