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Finding the Fourth Proportional to 24,200,096.40, 33,905,329.20 and 24,200,096.40

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Solution

The fourth proportional to 24,200,096.40, 33,905,329.20 and 24,200,096.40 is: 33,905,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200,096.40 : 33,905,329.20 = 24,200,096.40 : x
  2. Step 2: Convert to fraction form
    24,200,096.40/33,905,329.20 = 24,200,096.40/x
  3. Step 3: Cross multiply
    24,200,096.40x = 33,905,329.20 × 24,200,096.40
  4. Step 4: Simplify right side
    24,200,096.40x = 820,512,235,113,734.88
  5. Step 5: Solve for x
    x = 820,512,235,113,734.88/24,200,096.40
  6. Step 6: Final answer
    x = 33,905,329.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.