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Finding the Fourth Proportional to 4,107,289,610.30, 6,160,934,415.46 and 4,107,289,610.30

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Solution

The fourth proportional to 4,107,289,610.30, 6,160,934,415.46 and 4,107,289,610.30 is: 6,160,934,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,289,610.30 : 6,160,934,415.46 = 4,107,289,610.30 : x
  2. Step 2: Convert to fraction form
    4,107,289,610.30/6,160,934,415.46 = 4,107,289,610.30/x
  3. Step 3: Cross multiply
    4,107,289,610.30x = 6,160,934,415.46 × 4,107,289,610.30
  4. Step 4: Simplify right side
    4,107,289,610.30x = 25,304,741,914,358,562,816
  5. Step 5: Solve for x
    x = 25,304,741,914,358,562,816/4,107,289,610.30
  6. Step 6: Final answer
    x = 6,160,934,415.46

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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.