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Finding the Fourth Proportional to 2,444,764,564.65, 3,667,146,846.99 and 2,444,764,564.65

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Solution

The fourth proportional to 2,444,764,564.65, 3,667,146,846.99 and 2,444,764,564.65 is: 3,667,146,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444,764,564.65 : 3,667,146,846.99 = 2,444,764,564.65 : x
  2. Step 2: Convert to fraction form
    2,444,764,564.65/3,667,146,846.99 = 2,444,764,564.65/x
  3. Step 3: Cross multiply
    2,444,764,564.65x = 3,667,146,846.99 × 2,444,764,564.65
  4. Step 4: Simplify right side
    2,444,764,564.65x = 8,965,310,664,889,126,912
  5. Step 5: Solve for x
    x = 8,965,310,664,889,126,912/2,444,764,564.65
  6. Step 6: Final answer
    x = 3,667,146,846.99

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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.