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Finding the Fourth Proportional to 100,296,919.10, 150,445,378.65 and 100,296,919.10

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Solution

The fourth proportional to 100,296,919.10, 150,445,378.65 and 100,296,919.10 is: 150,445,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296,919.10 : 150,445,378.65 = 100,296,919.10 : x
  2. Step 2: Convert to fraction form
    100,296,919.10/150,445,378.65 = 100,296,919.10/x
  3. Step 3: Cross multiply
    100,296,919.10x = 150,445,378.65 × 100,296,919.10
  4. Step 4: Simplify right side
    100,296,919.10x = 15,089,207,971,427,916
  5. Step 5: Solve for x
    x = 15,089,207,971,427,916/100,296,919.10
  6. Step 6: Final answer
    x = 150,445,378.65

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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.