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Finding the Fourth Proportional to 196,656,138.40, 274,808,410.40 and 196,656,138.40

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Solution

The fourth proportional to 196,656,138.40, 274,808,410.40 and 196,656,138.40 is: 274,808,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,656,138.40 : 274,808,410.40 = 196,656,138.40 : x
  2. Step 2: Convert to fraction form
    196,656,138.40/274,808,410.40 = 196,656,138.40/x
  3. Step 3: Cross multiply
    196,656,138.40x = 274,808,410.40 × 196,656,138.40
  4. Step 4: Simplify right side
    196,656,138.40x = 54,042,760,789,106,400
  5. Step 5: Solve for x
    x = 54,042,760,789,106,400/196,656,138.40
  6. Step 6: Final answer
    x = 274,808,410.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.