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Finding the Fourth Proportional to 200,959,250.40, 301,438,875.60 and 192,456,194.40

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Solution

The fourth proportional to 200,959,250.40, 301,438,875.60 and 192,456,194.40 is: 288,684,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,959,250.40 : 301,438,875.60 = 192,456,194.40 : x
  2. Step 2: Convert to fraction form
    200,959,250.40/301,438,875.60 = 192,456,194.40/x
  3. Step 3: Cross multiply
    200,959,250.40x = 301,438,875.60 × 192,456,194.40
  4. Step 4: Simplify right side
    200,959,250.40x = 58,013,778,842,191,024
  5. Step 5: Solve for x
    x = 58,013,778,842,191,024/200,959,250.40
  6. Step 6: Final answer
    x = 288,684,291.60

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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.