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Finding the Fourth Proportional to 419,905,439.80, 629,858,159.70 and 410,947,487.80

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Solution

The fourth proportional to 419,905,439.80, 629,858,159.70 and 410,947,487.80 is: 616,421,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,905,439.80 : 629,858,159.70 = 410,947,487.80 : x
  2. Step 2: Convert to fraction form
    419,905,439.80/629,858,159.70 = 410,947,487.80/x
  3. Step 3: Cross multiply
    419,905,439.80x = 629,858,159.70 × 410,947,487.80
  4. Step 4: Simplify right side
    419,905,439.80x = 258,838,628,399,046,240
  5. Step 5: Solve for x
    x = 258,838,628,399,046,240/419,905,439.80
  6. Step 6: Final answer
    x = 616,421,231.70

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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.