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Finding the Fourth Proportional to 362,187,340.80, 543,281,011.21 and 362,187,340.80

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Solution

The fourth proportional to 362,187,340.80, 543,281,011.21 and 362,187,340.80 is: 543,281,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,187,340.80 : 543,281,011.21 = 362,187,340.80 : x
  2. Step 2: Convert to fraction form
    362,187,340.80/543,281,011.21 = 362,187,340.80/x
  3. Step 3: Cross multiply
    362,187,340.80x = 543,281,011.21 × 362,187,340.80
  4. Step 4: Simplify right side
    362,187,340.80x = 196,769,504,757,284,896
  5. Step 5: Solve for x
    x = 196,769,504,757,284,896/362,187,340.80
  6. Step 6: Final answer
    x = 543,281,011.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.