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Finding the Fourth Proportional to 311,878,178.40, 467,313,382.80 and 196,656,520.80

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Solution

The fourth proportional to 311,878,178.40, 467,313,382.80 and 196,656,520.80 is: 294,667,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,878,178.40 : 467,313,382.80 = 196,656,520.80 : x
  2. Step 2: Convert to fraction form
    311,878,178.40/467,313,382.80 = 196,656,520.80/x
  3. Step 3: Cross multiply
    311,878,178.40x = 467,313,382.80 × 196,656,520.80
  4. Step 4: Simplify right side
    311,878,178.40x = 91,900,223,984,726,576
  5. Step 5: Solve for x
    x = 91,900,223,984,726,576/311,878,178.40
  6. Step 6: Final answer
    x = 294,667,053.84

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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.