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Finding the Fourth Proportional to 18,097,859.21, 27,149,346.42 and 5,798,946.93

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Solution

The fourth proportional to 18,097,859.21, 27,149,346.42 and 5,798,946.93 is: 8,699,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097,859.21 : 27,149,346.42 = 5,798,946.93 : x
  2. Step 2: Convert to fraction form
    18,097,859.21/27,149,346.42 = 5,798,946.93/x
  3. Step 3: Cross multiply
    18,097,859.21x = 27,149,346.42 × 5,798,946.93
  4. Step 4: Simplify right side
    18,097,859.21x = 157,437,619,073,765.50
  5. Step 5: Solve for x
    x = 157,437,619,073,765.50/18,097,859.21
  6. Step 6: Final answer
    x = 8,699,239.91

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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.