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Finding the Fourth Proportional to 271,871,640.80, 407,807,461.20 and 168,559,510.40

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Solution

The fourth proportional to 271,871,640.80, 407,807,461.20 and 168,559,510.40 is: 252,839,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,871,640.80 : 407,807,461.20 = 168,559,510.40 : x
  2. Step 2: Convert to fraction form
    271,871,640.80/407,807,461.20 = 168,559,510.40/x
  3. Step 3: Cross multiply
    271,871,640.80x = 407,807,461.20 × 168,559,510.40
  4. Step 4: Simplify right side
    271,871,640.80x = 68,739,825,997,339,000
  5. Step 5: Solve for x
    x = 68,739,825,997,339,000/271,871,640.80
  6. Step 6: Final answer
    x = 252,839,265.60

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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.