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Finding the Fourth Proportional to 18,664,849,015.85, 27,997,273,523.78 and 18,664,849,015.85

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Solution

The fourth proportional to 18,664,849,015.85, 27,997,273,523.78 and 18,664,849,015.85 is: 27,997,273,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664,849,015.85 : 27,997,273,523.78 = 18,664,849,015.85 : x
  2. Step 2: Convert to fraction form
    18,664,849,015.85/27,997,273,523.78 = 18,664,849,015.85/x
  3. Step 3: Cross multiply
    18,664,849,015.85x = 27,997,273,523.78 × 18,664,849,015.85
  4. Step 4: Simplify right side
    18,664,849,015.85x = 522,564,883,176,715,059,200
  5. Step 5: Solve for x
    x = 522,564,883,176,715,059,200/18,664,849,015.85
  6. Step 6: Final answer
    x = 27,997,273,523.78

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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.