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Finding the Fourth Proportional to 7,823,274.70, 10,967,514.50 and 7,823,274.70

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Solution

The fourth proportional to 7,823,274.70, 10,967,514.50 and 7,823,274.70 is: 10,967,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823,274.70 : 10,967,514.50 = 7,823,274.70 : x
  2. Step 2: Convert to fraction form
    7,823,274.70/10,967,514.50 = 7,823,274.70/x
  3. Step 3: Cross multiply
    7,823,274.70x = 10,967,514.50 × 7,823,274.70
  4. Step 4: Simplify right side
    7,823,274.70x = 85,801,878,709,733.16
  5. Step 5: Solve for x
    x = 85,801,878,709,733.16/7,823,274.70
  6. Step 6: Final answer
    x = 10,967,514.50

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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.