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Finding the Fourth Proportional to 892,467,078.40, 1,338,700,617.60 and 892,467,078.40

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Solution

The fourth proportional to 892,467,078.40, 1,338,700,617.60 and 892,467,078.40 is: 1,338,700,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,467,078.40 : 1,338,700,617.60 = 892,467,078.40 : x
  2. Step 2: Convert to fraction form
    892,467,078.40/1,338,700,617.60 = 892,467,078.40/x
  3. Step 3: Cross multiply
    892,467,078.40x = 1,338,700,617.60 × 892,467,078.40
  4. Step 4: Simplify right side
    892,467,078.40x = 1,194,746,229,041,747,456
  5. Step 5: Solve for x
    x = 1,194,746,229,041,747,456/892,467,078.40
  6. Step 6: Final answer
    x = 1,338,700,617.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.