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Finding the Fourth Proportional to 209,871,107.70, 314,847,011.70 and 80,468,626.20

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Solution

The fourth proportional to 209,871,107.70, 314,847,011.70 and 80,468,626.20 is: 120,718,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,871,107.70 : 314,847,011.70 = 80,468,626.20 : x
  2. Step 2: Convert to fraction form
    209,871,107.70/314,847,011.70 = 80,468,626.20/x
  3. Step 3: Cross multiply
    209,871,107.70x = 314,847,011.70 × 80,468,626.20
  4. Step 4: Simplify right side
    209,871,107.70x = 25,335,306,494,674,328
  5. Step 5: Solve for x
    x = 25,335,306,494,674,328/209,871,107.70
  6. Step 6: Final answer
    x = 120,718,410.32

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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.