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Finding the Fourth Proportional to 852,196,679.20, 1,275,607,633.20 and 825,322,823.20

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Solution

The fourth proportional to 852,196,679.20, 1,275,607,633.20 and 825,322,823.20 is: 1,235,381,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,196,679.20 : 1,275,607,633.20 = 825,322,823.20 : x
  2. Step 2: Convert to fraction form
    852,196,679.20/1,275,607,633.20 = 825,322,823.20/x
  3. Step 3: Cross multiply
    852,196,679.20x = 1,275,607,633.20 × 825,322,823.20
  4. Step 4: Simplify right side
    852,196,679.20x = 1,052,788,093,128,094,208
  5. Step 5: Solve for x
    x = 1,052,788,093,128,094,208/852,196,679.20
  6. Step 6: Final answer
    x = 1,235,381,595.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.