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Finding the Fourth Proportional to 466,598,002.60, 699,897,003.90 and 293,513,573.80

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Solution

The fourth proportional to 466,598,002.60, 699,897,003.90 and 293,513,573.80 is: 440,270,360.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,598,002.60 : 699,897,003.90 = 293,513,573.80 : x
  2. Step 2: Convert to fraction form
    466,598,002.60/699,897,003.90 = 293,513,573.80/x
  3. Step 3: Cross multiply
    466,598,002.60x = 699,897,003.90 × 293,513,573.80
  4. Step 4: Simplify right side
    466,598,002.60x = 205,429,270,906,601,536
  5. Step 5: Solve for x
    x = 205,429,270,906,601,536/466,598,002.60
  6. Step 6: Final answer
    x = 440,270,360.70

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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.