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Finding the Fourth Proportional to 481,188,893,678.65, 721,783,340,517.98 and 481,188,893,678.65

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Solution

The fourth proportional to 481,188,893,678.65, 721,783,340,517.98 and 481,188,893,678.65 is: 721,783,340,517.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,188,893,678.65 : 721,783,340,517.98 = 481,188,893,678.65 : x
  2. Step 2: Convert to fraction form
    481,188,893,678.65/721,783,340,517.98 = 481,188,893,678.65/x
  3. Step 3: Cross multiply
    481,188,893,678.65x = 721,783,340,517.98 × 481,188,893,678.65
  4. Step 4: Simplify right side
    481,188,893,678.65x = 347,314,127,099,527,109,279,744
  5. Step 5: Solve for x
    x = 347,314,127,099,527,109,279,744/481,188,893,678.65
  6. Step 6: Final answer
    x = 721,783,340,517.98

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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.