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Finding the Fourth Proportional to 852,100,169.40, 1,278,150,254.10 and 852,100,169.40

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Solution

The fourth proportional to 852,100,169.40, 1,278,150,254.10 and 852,100,169.40 is: 1,278,150,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,100,169.40 : 1,278,150,254.10 = 852,100,169.40 : x
  2. Step 2: Convert to fraction form
    852,100,169.40/1,278,150,254.10 = 852,100,169.40/x
  3. Step 3: Cross multiply
    852,100,169.40x = 1,278,150,254.10 × 852,100,169.40
  4. Step 4: Simplify right side
    852,100,169.40x = 1,089,112,048,037,262,976
  5. Step 5: Solve for x
    x = 1,089,112,048,037,262,976/852,100,169.40
  6. Step 6: Final answer
    x = 1,278,150,254.10

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1.5x scale

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.