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Finding the Fourth Proportional to 7,345,431,446.40, 11,018,147,169.60 and 7,345,431,446.40

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Solution

The fourth proportional to 7,345,431,446.40, 11,018,147,169.60 and 7,345,431,446.40 is: 11,018,147,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345,431,446.40 : 11,018,147,169.60 = 7,345,431,446.40 : x
  2. Step 2: Convert to fraction form
    7,345,431,446.40/11,018,147,169.60 = 7,345,431,446.40/x
  3. Step 3: Cross multiply
    7,345,431,446.40x = 11,018,147,169.60 × 7,345,431,446.40
  4. Step 4: Simplify right side
    7,345,431,446.40x = 80,933,044,700,643,000,320
  5. Step 5: Solve for x
    x = 80,933,044,700,643,000,320/7,345,431,446.40
  6. Step 6: Final answer
    x = 11,018,147,169.60

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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.