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Finding the Fourth Proportional to 580,353,266.26, 800,866,468.40 and 354,669,818.55

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Solution

The fourth proportional to 580,353,266.26, 800,866,468.40 and 354,669,818.55 is: 489,431,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,353,266.26 : 800,866,468.40 = 354,669,818.55 : x
  2. Step 2: Convert to fraction form
    580,353,266.26/800,866,468.40 = 354,669,818.55/x
  3. Step 3: Cross multiply
    580,353,266.26x = 800,866,468.40 × 354,669,818.55
  4. Step 4: Simplify right side
    580,353,266.26x = 284,043,165,027,067,104
  5. Step 5: Solve for x
    x = 284,043,165,027,067,104/580,353,266.26
  6. Step 6: Final answer
    x = 489,431,492.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.