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Finding the Fourth Proportional to 1,906,216,977.75, 2,857,687,857.29 and 662,485,854.52

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Solution

The fourth proportional to 1,906,216,977.75, 2,857,687,857.29 and 662,485,854.52 is: 993,159,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906,216,977.75 : 2,857,687,857.29 = 662,485,854.52 : x
  2. Step 2: Convert to fraction form
    1,906,216,977.75/2,857,687,857.29 = 662,485,854.52/x
  3. Step 3: Cross multiply
    1,906,216,977.75x = 2,857,687,857.29 × 662,485,854.52
  4. Step 4: Simplify right side
    1,906,216,977.75x = 1,893,177,782,084,880,896
  5. Step 5: Solve for x
    x = 1,893,177,782,084,880,896/1,906,216,977.75
  6. Step 6: Final answer
    x = 993,159,647.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.