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Finding the Fourth Proportional to 503,449,344,133.45, 755,174,016,200.20 and 503,449,344,133.45

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Solution

The fourth proportional to 503,449,344,133.45, 755,174,016,200.20 and 503,449,344,133.45 is: 755,174,016,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,449,344,133.45 : 755,174,016,200.20 = 503,449,344,133.45 : x
  2. Step 2: Convert to fraction form
    503,449,344,133.45/755,174,016,200.20 = 503,449,344,133.45/x
  3. Step 3: Cross multiply
    503,449,344,133.45x = 755,174,016,200.20 × 503,449,344,133.45
  4. Step 4: Simplify right side
    503,449,344,133.45x = 380,191,863,162,614,000,386,048
  5. Step 5: Solve for x
    x = 380,191,863,162,614,000,386,048/503,449,344,133.45
  6. Step 6: Final answer
    x = 755,174,016,200.20

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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.