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Finding the Fourth Proportional to 503,449,344,006.70, 755,174,016,010.20 and 503,449,344,006.70

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Solution

The fourth proportional to 503,449,344,006.70, 755,174,016,010.20 and 503,449,344,006.70 is: 755,174,016,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,449,344,006.70 : 755,174,016,010.20 = 503,449,344,006.70 : x
  2. Step 2: Convert to fraction form
    503,449,344,006.70/755,174,016,010.20 = 503,449,344,006.70/x
  3. Step 3: Cross multiply
    503,449,344,006.70x = 755,174,016,010.20 × 503,449,344,006.70
  4. Step 4: Simplify right side
    503,449,344,006.70x = 380,191,862,971,240,324,005,888
  5. Step 5: Solve for x
    x = 380,191,862,971,240,324,005,888/503,449,344,006.70
  6. Step 6: Final answer
    x = 755,174,016,010.20

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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.