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Finding the Fourth Proportional to 503,010,469.80, 754,515,704.70 and 422,656,590.60

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Solution

The fourth proportional to 503,010,469.80, 754,515,704.70 and 422,656,590.60 is: 633,984,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,010,469.80 : 754,515,704.70 = 422,656,590.60 : x
  2. Step 2: Convert to fraction form
    503,010,469.80/754,515,704.70 = 422,656,590.60/x
  3. Step 3: Cross multiply
    503,010,469.80x = 754,515,704.70 × 422,656,590.60
  4. Step 4: Simplify right side
    503,010,469.80x = 318,901,035,302,658,432
  5. Step 5: Solve for x
    x = 318,901,035,302,658,432/503,010,469.80
  6. Step 6: Final answer
    x = 633,984,885.90

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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.