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Finding the Fourth Proportional to 504,419,914.80, 756,653,491.80 and 159,400,544.40

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Solution

The fourth proportional to 504,419,914.80, 756,653,491.80 and 159,400,544.40 is: 239,108,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,419,914.80 : 756,653,491.80 = 159,400,544.40 : x
  2. Step 2: Convert to fraction form
    504,419,914.80/756,653,491.80 = 159,400,544.40/x
  3. Step 3: Cross multiply
    504,419,914.80x = 756,653,491.80 × 159,400,544.40
  4. Step 4: Simplify right side
    504,419,914.80x = 120,610,978,515,080,928
  5. Step 5: Solve for x
    x = 120,610,978,515,080,928/504,419,914.80
  6. Step 6: Final answer
    x = 239,108,280.57

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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.