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Finding the Fourth Proportional to 2,588,393,896.80, 3,882,590,845.20 and 2,588,393,896.80

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Solution

The fourth proportional to 2,588,393,896.80, 3,882,590,845.20 and 2,588,393,896.80 is: 3,882,590,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588,393,896.80 : 3,882,590,845.20 = 2,588,393,896.80 : x
  2. Step 2: Convert to fraction form
    2,588,393,896.80/3,882,590,845.20 = 2,588,393,896.80/x
  3. Step 3: Cross multiply
    2,588,393,896.80x = 3,882,590,845.20 × 2,588,393,896.80
  4. Step 4: Simplify right side
    2,588,393,896.80x = 10,049,674,447,487,234,048
  5. Step 5: Solve for x
    x = 10,049,674,447,487,234,048/2,588,393,896.80
  6. Step 6: Final answer
    x = 3,882,590,845.20

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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.