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Finding the Fourth Proportional to 320,677,269.40, 481,015,904.10 and 159,434,133.40

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Solution

The fourth proportional to 320,677,269.40, 481,015,904.10 and 159,434,133.40 is: 239,151,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,677,269.40 : 481,015,904.10 = 159,434,133.40 : x
  2. Step 2: Convert to fraction form
    320,677,269.40/481,015,904.10 = 159,434,133.40/x
  3. Step 3: Cross multiply
    320,677,269.40x = 481,015,904.10 × 159,434,133.40
  4. Step 4: Simplify right side
    320,677,269.40x = 76,690,353,821,801,008
  5. Step 5: Solve for x
    x = 76,690,353,821,801,008/320,677,269.40
  6. Step 6: Final answer
    x = 239,151,200.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.