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Finding the Fourth Proportional to 1,245,783,733.85, 1,868,675,600.78 and 1,245,783,733.85

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Solution

The fourth proportional to 1,245,783,733.85, 1,868,675,600.78 and 1,245,783,733.85 is: 1,868,675,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,783,733.85 : 1,868,675,600.78 = 1,245,783,733.85 : x
  2. Step 2: Convert to fraction form
    1,245,783,733.85/1,868,675,600.78 = 1,245,783,733.85/x
  3. Step 3: Cross multiply
    1,245,783,733.85x = 1,868,675,600.78 × 1,245,783,733.85
  4. Step 4: Simplify right side
    1,245,783,733.85x = 2,327,965,667,294,099,968
  5. Step 5: Solve for x
    x = 2,327,965,667,294,099,968/1,245,783,733.85
  6. Step 6: Final answer
    x = 1,868,675,600.78

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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.