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Finding the Fourth Proportional to 213,131,314.80, 319,696,972.20 and 213,131,314.80

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Solution

The fourth proportional to 213,131,314.80, 319,696,972.20 and 213,131,314.80 is: 319,696,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,131,314.80 : 319,696,972.20 = 213,131,314.80 : x
  2. Step 2: Convert to fraction form
    213,131,314.80/319,696,972.20 = 213,131,314.80/x
  3. Step 3: Cross multiply
    213,131,314.80x = 319,696,972.20 × 213,131,314.80
  4. Step 4: Simplify right side
    213,131,314.80x = 68,137,436,022,565,048
  5. Step 5: Solve for x
    x = 68,137,436,022,565,048/213,131,314.80
  6. Step 6: Final answer
    x = 319,696,972.20

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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.