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Finding the Fourth Proportional to 82,130,565,579.90, 123,195,848,369.85 and 82,130,565,579.90

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Solution

The fourth proportional to 82,130,565,579.90, 123,195,848,369.85 and 82,130,565,579.90 is: 123,195,848,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130,565,579.90 : 123,195,848,369.85 = 82,130,565,579.90 : x
  2. Step 2: Convert to fraction form
    82,130,565,579.90/123,195,848,369.85 = 82,130,565,579.90/x
  3. Step 3: Cross multiply
    82,130,565,579.90x = 123,195,848,369.85 × 82,130,565,579.90
  4. Step 4: Simplify right side
    82,130,565,579.90x = 10,118,144,703,711,380,766,720
  5. Step 5: Solve for x
    x = 10,118,144,703,711,380,766,720/82,130,565,579.90
  6. Step 6: Final answer
    x = 123,195,848,369.85

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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.