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Finding the Fourth Proportional to 481,188,893,633.15, 721,783,340,449.75 and 481,188,893,633.15

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Solution

The fourth proportional to 481,188,893,633.15, 721,783,340,449.75 and 481,188,893,633.15 is: 721,783,340,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,188,893,633.15 : 721,783,340,449.75 = 481,188,893,633.15 : x
  2. Step 2: Convert to fraction form
    481,188,893,633.15/721,783,340,449.75 = 481,188,893,633.15/x
  3. Step 3: Cross multiply
    481,188,893,633.15x = 721,783,340,449.75 × 481,188,893,633.15
  4. Step 4: Simplify right side
    481,188,893,633.15x = 347,314,127,033,854,442,078,208
  5. Step 5: Solve for x
    x = 347,314,127,033,854,442,078,208/481,188,893,633.15
  6. Step 6: Final answer
    x = 721,783,340,449.75

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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.