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Finding the Fourth Proportional to 5,978,442,806.40, 8,967,664,209.60 and 5,978,442,806.40

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Solution

The fourth proportional to 5,978,442,806.40, 8,967,664,209.60 and 5,978,442,806.40 is: 8,967,664,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978,442,806.40 : 8,967,664,209.60 = 5,978,442,806.40 : x
  2. Step 2: Convert to fraction form
    5,978,442,806.40/8,967,664,209.60 = 5,978,442,806.40/x
  3. Step 3: Cross multiply
    5,978,442,806.40x = 8,967,664,209.60 × 5,978,442,806.40
  4. Step 4: Simplify right side
    5,978,442,806.40x = 53,612,667,584,093,863,936
  5. Step 5: Solve for x
    x = 53,612,667,584,093,863,936/5,978,442,806.40
  6. Step 6: Final answer
    x = 8,967,664,209.60

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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.