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Finding the Fourth Proportional to 5,517,671,609.80, 8,276,507,414.70 and 5,517,671,609.80

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Solution

The fourth proportional to 5,517,671,609.80, 8,276,507,414.70 and 5,517,671,609.80 is: 8,276,507,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517,671,609.80 : 8,276,507,414.70 = 5,517,671,609.80 : x
  2. Step 2: Convert to fraction form
    5,517,671,609.80/8,276,507,414.70 = 5,517,671,609.80/x
  3. Step 3: Cross multiply
    5,517,671,609.80x = 8,276,507,414.70 × 5,517,671,609.80
  4. Step 4: Simplify right side
    5,517,671,609.80x = 45,667,049,990,389,383,168
  5. Step 5: Solve for x
    x = 45,667,049,990,389,383,168/5,517,671,609.80
  6. Step 6: Final answer
    x = 8,276,507,414.70

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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.