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Finding the Fourth Proportional to 2,040,091,288.40, 2,861,569,759.60 and 2,040,091,288.40

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Solution

The fourth proportional to 2,040,091,288.40, 2,861,569,759.60 and 2,040,091,288.40 is: 2,861,569,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,091,288.40 : 2,861,569,759.60 = 2,040,091,288.40 : x
  2. Step 2: Convert to fraction form
    2,040,091,288.40/2,861,569,759.60 = 2,040,091,288.40/x
  3. Step 3: Cross multiply
    2,040,091,288.40x = 2,861,569,759.60 × 2,040,091,288.40
  4. Step 4: Simplify right side
    2,040,091,288.40x = 5,837,863,537,708,841,984
  5. Step 5: Solve for x
    x = 5,837,863,537,708,841,984/2,040,091,288.40
  6. Step 6: Final answer
    x = 2,861,569,759.60

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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.