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Finding the Fourth Proportional to 852,503,629.20, 1,194,714,404.40 and 852,503,629.20

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Solution

The fourth proportional to 852,503,629.20, 1,194,714,404.40 and 852,503,629.20 is: 1,194,714,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,503,629.20 : 1,194,714,404.40 = 852,503,629.20 : x
  2. Step 2: Convert to fraction form
    852,503,629.20/1,194,714,404.40 = 852,503,629.20/x
  3. Step 3: Cross multiply
    852,503,629.20x = 1,194,714,404.40 × 852,503,629.20
  4. Step 4: Simplify right side
    852,503,629.20x = 1,018,498,365,608,516,608
  5. Step 5: Solve for x
    x = 1,018,498,365,608,516,608/852,503,629.20
  6. Step 6: Final answer
    x = 1,194,714,404.40

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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.