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Finding the Fourth Proportional to 481,188,887,300.78, 721,783,330,951.20 and 481,188,887,300.78

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Solution

The fourth proportional to 481,188,887,300.78, 721,783,330,951.20 and 481,188,887,300.78 is: 721,783,330,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,188,887,300.78 : 721,783,330,951.20 = 481,188,887,300.78 : x
  2. Step 2: Convert to fraction form
    481,188,887,300.78/721,783,330,951.20 = 481,188,887,300.78/x
  3. Step 3: Cross multiply
    481,188,887,300.78x = 721,783,330,951.20 × 481,188,887,300.78
  4. Step 4: Simplify right side
    481,188,887,300.78x = 347,314,117,892,658,583,044,096
  5. Step 5: Solve for x
    x = 347,314,117,892,658,583,044,096/481,188,887,300.78
  6. Step 6: Final answer
    x = 721,783,330,951.20

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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.