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Finding the Fourth Proportional to 339,667,657.80, 509,501,486.70 and 339,667,657.80

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Solution

The fourth proportional to 339,667,657.80, 509,501,486.70 and 339,667,657.80 is: 509,501,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,667,657.80 : 509,501,486.70 = 339,667,657.80 : x
  2. Step 2: Convert to fraction form
    339,667,657.80/509,501,486.70 = 339,667,657.80/x
  3. Step 3: Cross multiply
    339,667,657.80x = 509,501,486.70 × 339,667,657.80
  4. Step 4: Simplify right side
    339,667,657.80x = 173,061,176,633,006,848
  5. Step 5: Solve for x
    x = 173,061,176,633,006,848/339,667,657.80
  6. Step 6: Final answer
    x = 509,501,486.70

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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.