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Finding the Fourth Proportional to 297,871,908.80, 446,807,863.20 and 144,816,900.80

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Solution

The fourth proportional to 297,871,908.80, 446,807,863.20 and 144,816,900.80 is: 217,225,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,871,908.80 : 446,807,863.20 = 144,816,900.80 : x
  2. Step 2: Convert to fraction form
    297,871,908.80/446,807,863.20 = 144,816,900.80/x
  3. Step 3: Cross multiply
    297,871,908.80x = 446,807,863.20 × 144,816,900.80
  4. Step 4: Simplify right side
    297,871,908.80x = 64,705,330,001,694,376
  5. Step 5: Solve for x
    x = 64,705,330,001,694,376/297,871,908.80
  6. Step 6: Final answer
    x = 217,225,351.20

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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.