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Finding the Fourth Proportional to 503,449,344,168.35, 755,174,016,252.65 and 503,449,344,168.35

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Solution

The fourth proportional to 503,449,344,168.35, 755,174,016,252.65 and 503,449,344,168.35 is: 755,174,016,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,449,344,168.35 : 755,174,016,252.65 = 503,449,344,168.35 : x
  2. Step 2: Convert to fraction form
    503,449,344,168.35/755,174,016,252.65 = 503,449,344,168.35/x
  3. Step 3: Cross multiply
    503,449,344,168.35x = 755,174,016,252.65 × 503,449,344,168.35
  4. Step 4: Simplify right side
    503,449,344,168.35x = 380,191,863,215,375,526,133,760
  5. Step 5: Solve for x
    x = 380,191,863,215,375,526,133,760/503,449,344,168.35
  6. Step 6: Final answer
    x = 755,174,016,252.65

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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.