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Finding the Fourth Proportional to 253,520,007.40, 380,280,011.10 and 253,520,007.40

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Solution

The fourth proportional to 253,520,007.40, 380,280,011.10 and 253,520,007.40 is: 380,280,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,520,007.40 : 380,280,011.10 = 253,520,007.40 : x
  2. Step 2: Convert to fraction form
    253,520,007.40/380,280,011.10 = 253,520,007.40/x
  3. Step 3: Cross multiply
    253,520,007.40x = 380,280,011.10 × 253,520,007.40
  4. Step 4: Simplify right side
    253,520,007.40x = 96,408,591,228,144,096
  5. Step 5: Solve for x
    x = 96,408,591,228,144,096/253,520,007.40
  6. Step 6: Final answer
    x = 380,280,011.10

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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.