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Finding the Fourth Proportional to 192,191,616,002.65, 288,287,424,003.97 and 192,191,616,002.65

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Solution

The fourth proportional to 192,191,616,002.65, 288,287,424,003.97 and 192,191,616,002.65 is: 288,287,424,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,191,616,002.65 : 288,287,424,003.97 = 192,191,616,002.65 : x
  2. Step 2: Convert to fraction form
    192,191,616,002.65/288,287,424,003.97 = 192,191,616,002.65/x
  3. Step 3: Cross multiply
    192,191,616,002.65x = 288,287,424,003.97 × 192,191,616,002.65
  4. Step 4: Simplify right side
    192,191,616,002.65x = 55,406,425,892,564,139,769,856
  5. Step 5: Solve for x
    x = 55,406,425,892,564,139,769,856/192,191,616,002.65
  6. Step 6: Final answer
    x = 288,287,424,003.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.