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Finding the Fourth Proportional to 7,777,139.51, 11,665,709.26 and 7,777,139.51

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Solution

The fourth proportional to 7,777,139.51, 11,665,709.26 and 7,777,139.51 is: 11,665,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777,139.51 : 11,665,709.26 = 7,777,139.51 : x
  2. Step 2: Convert to fraction form
    7,777,139.51/11,665,709.26 = 7,777,139.51/x
  3. Step 3: Cross multiply
    7,777,139.51x = 11,665,709.26 × 7,777,139.51
  4. Step 4: Simplify right side
    7,777,139.51x = 90,725,848,398,118.86
  5. Step 5: Solve for x
    x = 90,725,848,398,118.86/7,777,139.51
  6. Step 6: Final answer
    x = 11,665,709.26

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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.