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Finding the Fourth Proportional to 466,597,967.60, 699,896,951.40 and 293,513,538.80

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Solution

The fourth proportional to 466,597,967.60, 699,896,951.40 and 293,513,538.80 is: 440,270,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,597,967.60 : 699,896,951.40 = 293,513,538.80 : x
  2. Step 2: Convert to fraction form
    466,597,967.60/699,896,951.40 = 293,513,538.80/x
  3. Step 3: Cross multiply
    466,597,967.60x = 699,896,951.40 × 293,513,538.80
  4. Step 4: Simplify right side
    466,597,967.60x = 205,429,231,000,745,600
  5. Step 5: Solve for x
    x = 205,429,231,000,745,600/466,597,967.60
  6. Step 6: Final answer
    x = 440,270,308.20

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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.