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Finding the Fourth Proportional to 10,182,550,550.85, 15,273,825,826.28 and 10,182,550,550.85

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Solution

The fourth proportional to 10,182,550,550.85, 15,273,825,826.28 and 10,182,550,550.85 is: 15,273,825,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182,550,550.85 : 15,273,825,826.28 = 10,182,550,550.85 : x
  2. Step 2: Convert to fraction form
    10,182,550,550.85/15,273,825,826.28 = 10,182,550,550.85/x
  3. Step 3: Cross multiply
    10,182,550,550.85x = 15,273,825,826.28 × 10,182,550,550.85
  4. Step 4: Simplify right side
    10,182,550,550.85x = 155,526,503,580,923,461,632
  5. Step 5: Solve for x
    x = 155,526,503,580,923,461,632/10,182,550,550.85
  6. Step 6: Final answer
    x = 15,273,825,826.28

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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.