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Finding the Fourth Proportional to 270,844,409.64, 406,213,713.36 and 86,562,453.36

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Solution

The fourth proportional to 270,844,409.64, 406,213,713.36 and 86,562,453.36 is: 129,826,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,844,409.64 : 406,213,713.36 = 86,562,453.36 : x
  2. Step 2: Convert to fraction form
    270,844,409.64/406,213,713.36 = 86,562,453.36/x
  3. Step 3: Cross multiply
    270,844,409.64x = 406,213,713.36 × 86,562,453.36
  4. Step 4: Simplify right side
    270,844,409.64x = 35,162,855,616,917,408
  5. Step 5: Solve for x
    x = 35,162,855,616,917,408/270,844,409.64
  6. Step 6: Final answer
    x = 129,826,772.74

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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.