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Finding the Fourth Proportional to 852,503,608.20, 1,194,714,375 and 852,503,608.20

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Solution

The fourth proportional to 852,503,608.20, 1,194,714,375 and 852,503,608.20 is: 1,194,714,375

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,503,608.20 : 1,194,714,375 = 852,503,608.20 : x
  2. Step 2: Convert to fraction form
    852,503,608.20/1,194,714,375 = 852,503,608.20/x
  3. Step 3: Cross multiply
    852,503,608.20x = 1,194,714,375 × 852,503,608.20
  4. Step 4: Simplify right side
    852,503,608.20x = 1,018,498,315,455,907,968
  5. Step 5: Solve for x
    x = 1,018,498,315,455,907,968/852,503,608.20
  6. Step 6: Final answer
    x = 1,194,714,375

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.