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Finding the Fourth Proportional to 422,576,833,404.98, 633,865,250,107.47 and 422,576,833,404.98

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Solution

The fourth proportional to 422,576,833,404.98, 633,865,250,107.47 and 422,576,833,404.98 is: 633,865,250,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,576,833,404.98 : 633,865,250,107.47 = 422,576,833,404.98 : x
  2. Step 2: Convert to fraction form
    422,576,833,404.98/633,865,250,107.47 = 422,576,833,404.98/x
  3. Step 3: Cross multiply
    422,576,833,404.98x = 633,865,250,107.47 × 422,576,833,404.98
  4. Step 4: Simplify right side
    422,576,833,404.98x = 267,856,770,195,870,300,766,208
  5. Step 5: Solve for x
    x = 267,856,770,195,870,300,766,208/422,576,833,404.98
  6. Step 6: Final answer
    x = 633,865,250,107.47

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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.