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Finding the Fourth Proportional to 4,118,431,379.60, 6,177,647,069.40 and 4,118,431,379.60

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Solution

The fourth proportional to 4,118,431,379.60, 6,177,647,069.40 and 4,118,431,379.60 is: 6,177,647,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118,431,379.60 : 6,177,647,069.40 = 4,118,431,379.60 : x
  2. Step 2: Convert to fraction form
    4,118,431,379.60/6,177,647,069.40 = 4,118,431,379.60/x
  3. Step 3: Cross multiply
    4,118,431,379.60x = 6,177,647,069.40 × 4,118,431,379.60
  4. Step 4: Simplify right side
    4,118,431,379.60x = 25,442,215,542,710,935,552
  5. Step 5: Solve for x
    x = 25,442,215,542,710,935,552/4,118,431,379.60
  6. Step 6: Final answer
    x = 6,177,647,069.40

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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.