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Finding the Fourth Proportional to 7,777,140.51, 11,665,710.76 and 7,777,140.51

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Solution

The fourth proportional to 7,777,140.51, 11,665,710.76 and 7,777,140.51 is: 11,665,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777,140.51 : 11,665,710.76 = 7,777,140.51 : x
  2. Step 2: Convert to fraction form
    7,777,140.51/11,665,710.76 = 7,777,140.51/x
  3. Step 3: Cross multiply
    7,777,140.51x = 11,665,710.76 × 7,777,140.51
  4. Step 4: Simplify right side
    7,777,140.51x = 90,725,871,729,538.89
  5. Step 5: Solve for x
    x = 90,725,871,729,538.89/7,777,140.51
  6. Step 6: Final answer
    x = 11,665,710.76

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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.