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Finding the Fourth Proportional to 200,959,274.40, 301,438,911.60 and 192,456,218.40

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Solution

The fourth proportional to 200,959,274.40, 301,438,911.60 and 192,456,218.40 is: 288,684,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,959,274.40 : 301,438,911.60 = 192,456,218.40 : x
  2. Step 2: Convert to fraction form
    200,959,274.40/301,438,911.60 = 192,456,218.40/x
  3. Step 3: Cross multiply
    200,959,274.40x = 301,438,911.60 × 192,456,218.40
  4. Step 4: Simplify right side
    200,959,274.40x = 58,013,793,005,147,896
  5. Step 5: Solve for x
    x = 58,013,793,005,147,896/200,959,274.40
  6. Step 6: Final answer
    x = 288,684,327.60

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1.5x scale

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.