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Finding the Fourth Proportional to 6,397,797.20, 9,596,695.80 and 6,397,797.20

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Solution

The fourth proportional to 6,397,797.20, 9,596,695.80 and 6,397,797.20 is: 9,596,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397,797.20 : 9,596,695.80 = 6,397,797.20 : x
  2. Step 2: Convert to fraction form
    6,397,797.20/9,596,695.80 = 6,397,797.20/x
  3. Step 3: Cross multiply
    6,397,797.20x = 9,596,695.80 × 6,397,797.20
  4. Step 4: Simplify right side
    6,397,797.20x = 61,397,713,518,491.77
  5. Step 5: Solve for x
    x = 61,397,713,518,491.77/6,397,797.20
  6. Step 6: Final answer
    x = 9,596,695.80

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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.