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Finding the Fourth Proportional to 259,524,010.20, 362,653,369.80 and 259,524,010.20

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Solution

The fourth proportional to 259,524,010.20, 362,653,369.80 and 259,524,010.20 is: 362,653,369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,524,010.20 : 362,653,369.80 = 259,524,010.20 : x
  2. Step 2: Convert to fraction form
    259,524,010.20/362,653,369.80 = 259,524,010.20/x
  3. Step 3: Cross multiply
    259,524,010.20x = 362,653,369.80 × 259,524,010.20
  4. Step 4: Simplify right side
    259,524,010.20x = 94,117,256,843,039,568
  5. Step 5: Solve for x
    x = 94,117,256,843,039,568/259,524,010.20
  6. Step 6: Final answer
    x = 362,653,369.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.