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Finding the Fourth Proportional to 503,449,344,007.90, 755,174,016,012 and 503,449,344,007.90

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Solution

The fourth proportional to 503,449,344,007.90, 755,174,016,012 and 503,449,344,007.90 is: 755,174,016,012

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,449,344,007.90 : 755,174,016,012 = 503,449,344,007.90 : x
  2. Step 2: Convert to fraction form
    503,449,344,007.90/755,174,016,012 = 503,449,344,007.90/x
  3. Step 3: Cross multiply
    503,449,344,007.90x = 755,174,016,012 × 503,449,344,007.90
  4. Step 4: Simplify right side
    503,449,344,007.90x = 380,191,862,973,052,800,204,800
  5. Step 5: Solve for x
    x = 380,191,862,973,052,800,204,800/503,449,344,007.90
  6. Step 6: Final answer
    x = 755,174,016,012

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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.