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Finding the Fourth Proportional to 196,992,497.20, 295,488,745.80 and 186,410,916.40

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Solution

The fourth proportional to 196,992,497.20, 295,488,745.80 and 186,410,916.40 is: 279,616,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,992,497.20 : 295,488,745.80 = 186,410,916.40 : x
  2. Step 2: Convert to fraction form
    196,992,497.20/295,488,745.80 = 186,410,916.40/x
  3. Step 3: Cross multiply
    196,992,497.20x = 295,488,745.80 × 186,410,916.40
  4. Step 4: Simplify right side
    196,992,497.20x = 55,082,327,890,464,656
  5. Step 5: Solve for x
    x = 55,082,327,890,464,656/196,992,497.20
  6. Step 6: Final answer
    x = 279,616,374.60

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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.