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Finding the Fourth Proportional to 339,667,658.55, 509,501,487.83 and 339,667,658.55

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Solution

The fourth proportional to 339,667,658.55, 509,501,487.83 and 339,667,658.55 is: 509,501,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,667,658.55 : 509,501,487.83 = 339,667,658.55 : x
  2. Step 2: Convert to fraction form
    339,667,658.55/509,501,487.83 = 339,667,658.55/x
  3. Step 3: Cross multiply
    339,667,658.55x = 509,501,487.83 × 339,667,658.55
  4. Step 4: Simplify right side
    339,667,658.55x = 173,061,177,397,259,072
  5. Step 5: Solve for x
    x = 173,061,177,397,259,072/339,667,658.55
  6. Step 6: Final answer
    x = 509,501,487.83

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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.