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Finding the Fourth Proportional to 412,296,564.54, 618,739,907.22 and 149,980,608.42

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Solution

The fourth proportional to 412,296,564.54, 618,739,907.22 and 149,980,608.42 is: 225,078,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,296,564.54 : 618,739,907.22 = 149,980,608.42 : x
  2. Step 2: Convert to fraction form
    412,296,564.54/618,739,907.22 = 149,980,608.42/x
  3. Step 3: Cross multiply
    412,296,564.54x = 618,739,907.22 × 149,980,608.42
  4. Step 4: Simplify right side
    412,296,564.54x = 92,798,987,738,589,952
  5. Step 5: Solve for x
    x = 92,798,987,738,589,952/412,296,564.54
  6. Step 6: Final answer
    x = 225,078,246.39

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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.