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Finding the Fourth Proportional to 568,656,010.60, 852,984,015.90 and 465,343,880.20

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Solution

The fourth proportional to 568,656,010.60, 852,984,015.90 and 465,343,880.20 is: 698,015,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,656,010.60 : 852,984,015.90 = 465,343,880.20 : x
  2. Step 2: Convert to fraction form
    568,656,010.60/852,984,015.90 = 465,343,880.20/x
  3. Step 3: Cross multiply
    568,656,010.60x = 852,984,015.90 × 465,343,880.20
  4. Step 4: Simplify right side
    568,656,010.60x = 396,930,891,707,484,480
  5. Step 5: Solve for x
    x = 396,930,891,707,484,480/568,656,010.60
  6. Step 6: Final answer
    x = 698,015,820.30

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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.