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Finding the Fourth Proportional to 7,285,715.20, 10,214,931.20 and 7,285,715.20

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Solution

The fourth proportional to 7,285,715.20, 10,214,931.20 and 7,285,715.20 is: 10,214,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285,715.20 : 10,214,931.20 = 7,285,715.20 : x
  2. Step 2: Convert to fraction form
    7,285,715.20/10,214,931.20 = 7,285,715.20/x
  3. Step 3: Cross multiply
    7,285,715.20x = 10,214,931.20 × 7,285,715.20
  4. Step 4: Simplify right side
    7,285,715.20x = 74,423,079,510,794.23
  5. Step 5: Solve for x
    x = 74,423,079,510,794.23/7,285,715.20
  6. Step 6: Final answer
    x = 10,214,931.20

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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.