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Finding the Fourth Proportional to 1,099,004,158.05, 1,542,687,288.15 and 1,099,004,158.05

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Solution

The fourth proportional to 1,099,004,158.05, 1,542,687,288.15 and 1,099,004,158.05 is: 1,542,687,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,004,158.05 : 1,542,687,288.15 = 1,099,004,158.05 : x
  2. Step 2: Convert to fraction form
    1,099,004,158.05/1,542,687,288.15 = 1,099,004,158.05/x
  3. Step 3: Cross multiply
    1,099,004,158.05x = 1,542,687,288.15 × 1,099,004,158.05
  4. Step 4: Simplify right side
    1,099,004,158.05x = 1,695,419,744,247,728,640
  5. Step 5: Solve for x
    x = 1,695,419,744,247,728,640/1,099,004,158.05
  6. Step 6: Final answer
    x = 1,542,687,288.15

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1.5x scale

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.