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Finding the Fourth Proportional to 224,825,906.40, 310,164,745.64 and 150,510,407.10

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Solution

The fourth proportional to 224,825,906.40, 310,164,745.64 and 150,510,407.10 is: 207,640,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,825,906.40 : 310,164,745.64 = 150,510,407.10 : x
  2. Step 2: Convert to fraction form
    224,825,906.40/310,164,745.64 = 150,510,407.10/x
  3. Step 3: Cross multiply
    224,825,906.40x = 310,164,745.64 × 150,510,407.10
  4. Step 4: Simplify right side
    224,825,906.40x = 46,683,022,133,591,792
  5. Step 5: Solve for x
    x = 46,683,022,133,591,792/224,825,906.40
  6. Step 6: Final answer
    x = 207,640,760.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.