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Finding the Fourth Proportional to 196,643,138.40, 275,703,501.60 and 196,643,138.40

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Solution

The fourth proportional to 196,643,138.40, 275,703,501.60 and 196,643,138.40 is: 275,703,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,643,138.40 : 275,703,501.60 = 196,643,138.40 : x
  2. Step 2: Convert to fraction form
    196,643,138.40/275,703,501.60 = 196,643,138.40/x
  3. Step 3: Cross multiply
    196,643,138.40x = 275,703,501.60 × 196,643,138.40
  4. Step 4: Simplify right side
    196,643,138.40x = 54,215,201,822,493,424
  5. Step 5: Solve for x
    x = 54,215,201,822,493,424/196,643,138.40
  6. Step 6: Final answer
    x = 275,703,501.60

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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.