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Finding the Fourth Proportional to 312,019,969.60, 468,029,954.40 and 150,776,833.60

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Solution

The fourth proportional to 312,019,969.60, 468,029,954.40 and 150,776,833.60 is: 226,165,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,019,969.60 : 468,029,954.40 = 150,776,833.60 : x
  2. Step 2: Convert to fraction form
    312,019,969.60/468,029,954.40 = 150,776,833.60/x
  3. Step 3: Cross multiply
    312,019,969.60x = 468,029,954.40 × 150,776,833.60
  4. Step 4: Simplify right side
    312,019,969.60x = 70,568,074,554,384,384
  5. Step 5: Solve for x
    x = 70,568,074,554,384,384/312,019,969.60
  6. Step 6: Final answer
    x = 226,165,250.40

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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.