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Finding the Fourth Proportional to 1,493,341,163.20, 2,085,840,334.40 and 1,493,341,163.20

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Solution

The fourth proportional to 1,493,341,163.20, 2,085,840,334.40 and 1,493,341,163.20 is: 2,085,840,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493,341,163.20 : 2,085,840,334.40 = 1,493,341,163.20 : x
  2. Step 2: Convert to fraction form
    1,493,341,163.20/2,085,840,334.40 = 1,493,341,163.20/x
  3. Step 3: Cross multiply
    1,493,341,163.20x = 2,085,840,334.40 × 1,493,341,163.20
  4. Step 4: Simplify right side
    1,493,341,163.20x = 3,114,871,231,222,373,376
  5. Step 5: Solve for x
    x = 3,114,871,231,222,373,376/1,493,341,163.20
  6. Step 6: Final answer
    x = 2,085,840,334.40

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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.