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Finding the Fourth Proportional to 209,322,384,001.80, 313,983,576,002.70 and 209,322,384,001.80

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Solution

The fourth proportional to 209,322,384,001.80, 313,983,576,002.70 and 209,322,384,001.80 is: 313,983,576,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,322,384,001.80 : 313,983,576,002.70 = 209,322,384,001.80 : x
  2. Step 2: Convert to fraction form
    209,322,384,001.80/313,983,576,002.70 = 209,322,384,001.80/x
  3. Step 3: Cross multiply
    209,322,384,001.80x = 313,983,576,002.70 × 209,322,384,001.80
  4. Step 4: Simplify right side
    209,322,384,001.80x = 65,723,790,666,295,521,837,056
  5. Step 5: Solve for x
    x = 65,723,790,666,295,521,837,056/209,322,384,001.80
  6. Step 6: Final answer
    x = 313,983,576,002.70

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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.