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Finding the Fourth Proportional to 2,040,090,970.65, 2,861,569,314.75 and 2,040,090,970.65

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Solution

The fourth proportional to 2,040,090,970.65, 2,861,569,314.75 and 2,040,090,970.65 is: 2,861,569,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,090,970.65 : 2,861,569,314.75 = 2,040,090,970.65 : x
  2. Step 2: Convert to fraction form
    2,040,090,970.65/2,861,569,314.75 = 2,040,090,970.65/x
  3. Step 3: Cross multiply
    2,040,090,970.65x = 2,861,569,314.75 × 2,040,090,970.65
  4. Step 4: Simplify right side
    2,040,090,970.65x = 5,837,861,720,910,582,784
  5. Step 5: Solve for x
    x = 5,837,861,720,910,582,784/2,040,090,970.65
  6. Step 6: Final answer
    x = 2,861,569,314.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.