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Finding the Fourth Proportional to 419,616,202.80, 629,424,304.20 and 238,217,674.80

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Solution

The fourth proportional to 419,616,202.80, 629,424,304.20 and 238,217,674.80 is: 357,326,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,616,202.80 : 629,424,304.20 = 238,217,674.80 : x
  2. Step 2: Convert to fraction form
    419,616,202.80/629,424,304.20 = 238,217,674.80/x
  3. Step 3: Cross multiply
    419,616,202.80x = 629,424,304.20 × 238,217,674.80
  4. Step 4: Simplify right side
    419,616,202.80x = 149,939,994,209,131,904
  5. Step 5: Solve for x
    x = 149,939,994,209,131,904/419,616,202.80
  6. Step 6: Final answer
    x = 357,326,512.20

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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.