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Finding the Fourth Proportional to 414,071,998.40, 620,871,801.60 and 155,295,660.80

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Solution

The fourth proportional to 414,071,998.40, 620,871,801.60 and 155,295,660.80 is: 232,854,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,071,998.40 : 620,871,801.60 = 155,295,660.80 : x
  2. Step 2: Convert to fraction form
    414,071,998.40/620,871,801.60 = 155,295,660.80/x
  3. Step 3: Cross multiply
    414,071,998.40x = 620,871,801.60 × 155,295,660.80
  4. Step 4: Simplify right side
    414,071,998.40x = 96,418,696,701,558,512
  5. Step 5: Solve for x
    x = 96,418,696,701,558,512/414,071,998.40
  6. Step 6: Final answer
    x = 232,854,907.06

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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.