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Finding the Fourth Proportional to 9,576,049.20, 14,364,073.80 and 9,576,049.20

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Solution

The fourth proportional to 9,576,049.20, 14,364,073.80 and 9,576,049.20 is: 14,364,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576,049.20 : 14,364,073.80 = 9,576,049.20 : x
  2. Step 2: Convert to fraction form
    9,576,049.20/14,364,073.80 = 9,576,049.20/x
  3. Step 3: Cross multiply
    9,576,049.20x = 14,364,073.80 × 9,576,049.20
  4. Step 4: Simplify right side
    9,576,049.20x = 137,551,077,421,230.95
  5. Step 5: Solve for x
    x = 137,551,077,421,230.95/9,576,049.20
  6. Step 6: Final answer
    x = 14,364,073.80

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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.