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Finding the Fourth Proportional to 362,463,538.80, 543,978,743.40 and 168,399,000.30

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Solution

The fourth proportional to 362,463,538.80, 543,978,743.40 and 168,399,000.30 is: 252,730,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,463,538.80 : 543,978,743.40 = 168,399,000.30 : x
  2. Step 2: Convert to fraction form
    362,463,538.80/543,978,743.40 = 168,399,000.30/x
  3. Step 3: Cross multiply
    362,463,538.80x = 543,978,743.40 × 168,399,000.30
  4. Step 4: Simplify right side
    362,463,538.80x = 91,605,476,573,010,224
  5. Step 5: Solve for x
    x = 91,605,476,573,010,224/362,463,538.80
  6. Step 6: Final answer
    x = 252,730,183.22

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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.