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Finding the Fourth Proportional to 2,040,091,021.90, 2,861,569,386.50 and 2,040,091,021.90

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Solution

The fourth proportional to 2,040,091,021.90, 2,861,569,386.50 and 2,040,091,021.90 is: 2,861,569,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,091,021.90 : 2,861,569,386.50 = 2,040,091,021.90 : x
  2. Step 2: Convert to fraction form
    2,040,091,021.90/2,861,569,386.50 = 2,040,091,021.90/x
  3. Step 3: Cross multiply
    2,040,091,021.90x = 2,861,569,386.50 × 2,040,091,021.90
  4. Step 4: Simplify right side
    2,040,091,021.90x = 5,837,862,013,942,541,312
  5. Step 5: Solve for x
    x = 5,837,862,013,942,541,312/2,040,091,021.90
  6. Step 6: Final answer
    x = 2,861,569,386.50

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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.