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Finding the Fourth Proportional to 199,314,474.40, 298,404,841.20 and 199,314,474.40

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Solution

The fourth proportional to 199,314,474.40, 298,404,841.20 and 199,314,474.40 is: 298,404,841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,314,474.40 : 298,404,841.20 = 199,314,474.40 : x
  2. Step 2: Convert to fraction form
    199,314,474.40/298,404,841.20 = 199,314,474.40/x
  3. Step 3: Cross multiply
    199,314,474.40x = 298,404,841.20 × 199,314,474.40
  4. Step 4: Simplify right side
    199,314,474.40x = 59,476,404,082,193,464
  5. Step 5: Solve for x
    x = 59,476,404,082,193,464/199,314,474.40
  6. Step 6: Final answer
    x = 298,404,841.20

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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.