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Finding the Fourth Proportional to 7,427,286.30, 10,405,286.70 and 7,427,286.30

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Solution

The fourth proportional to 7,427,286.30, 10,405,286.70 and 7,427,286.30 is: 10,405,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427,286.30 : 10,405,286.70 = 7,427,286.30 : x
  2. Step 2: Convert to fraction form
    7,427,286.30/10,405,286.70 = 7,427,286.30/x
  3. Step 3: Cross multiply
    7,427,286.30x = 10,405,286.70 × 7,427,286.30
  4. Step 4: Simplify right side
    7,427,286.30x = 77,283,043,354,482.20
  5. Step 5: Solve for x
    x = 77,283,043,354,482.20/7,427,286.30
  6. Step 6: Final answer
    x = 10,405,286.70

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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.