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Finding the Fourth Proportional to 814,541,508,004.70, 1,221,812,262,007 and 814,541,508,004.70

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Solution

The fourth proportional to 814,541,508,004.70, 1,221,812,262,007 and 814,541,508,004.70 is: 1,221,812,262,007

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,541,508,004.70 : 1,221,812,262,007 = 814,541,508,004.70 : x
  2. Step 2: Convert to fraction form
    814,541,508,004.70/1,221,812,262,007 = 814,541,508,004.70/x
  3. Step 3: Cross multiply
    814,541,508,004.70x = 1,221,812,262,007 × 814,541,508,004.70
  4. Step 4: Simplify right side
    814,541,508,004.70x = 995,216,802,393,815,313,809,408
  5. Step 5: Solve for x
    x = 995,216,802,393,815,313,809,408/814,541,508,004.70
  6. Step 6: Final answer
    x = 1,221,812,262,007

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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.