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Finding the Fourth Proportional to 481,188,893,645.77, 721,783,340,468.67 and 481,188,893,645.77

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Solution

The fourth proportional to 481,188,893,645.77, 721,783,340,468.67 and 481,188,893,645.77 is: 721,783,340,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,188,893,645.77 : 721,783,340,468.67 = 481,188,893,645.77 : x
  2. Step 2: Convert to fraction form
    481,188,893,645.77/721,783,340,468.67 = 481,188,893,645.77/x
  3. Step 3: Cross multiply
    481,188,893,645.77x = 721,783,340,468.67 × 481,188,893,645.77
  4. Step 4: Simplify right side
    481,188,893,645.77x = 347,314,127,052,067,452,223,488
  5. Step 5: Solve for x
    x = 347,314,127,052,067,452,223,488/481,188,893,645.77
  6. Step 6: Final answer
    x = 721,783,340,468.67

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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.