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Finding the Fourth Proportional to 7,825,897.60, 10,976,163.20 and 7,825,897.60

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Solution

The fourth proportional to 7,825,897.60, 10,976,163.20 and 7,825,897.60 is: 10,976,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825,897.60 : 10,976,163.20 = 7,825,897.60 : x
  2. Step 2: Convert to fraction form
    7,825,897.60/10,976,163.20 = 7,825,897.60/x
  3. Step 3: Cross multiply
    7,825,897.60x = 10,976,163.20 × 7,825,897.60
  4. Step 4: Simplify right side
    7,825,897.60x = 85,898,329,244,088.31
  5. Step 5: Solve for x
    x = 85,898,329,244,088.31/7,825,897.60
  6. Step 6: Final answer
    x = 10,976,163.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.