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Finding the Fourth Proportional to 7,340,428.40, 10,297,857.40 and 7,340,428.40

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Solution

The fourth proportional to 7,340,428.40, 10,297,857.40 and 7,340,428.40 is: 10,297,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340,428.40 : 10,297,857.40 = 7,340,428.40 : x
  2. Step 2: Convert to fraction form
    7,340,428.40/10,297,857.40 = 7,340,428.40/x
  3. Step 3: Cross multiply
    7,340,428.40x = 10,297,857.40 × 7,340,428.40
  4. Step 4: Simplify right side
    7,340,428.40x = 75,590,684,918,110.17
  5. Step 5: Solve for x
    x = 75,590,684,918,110.17/7,340,428.40
  6. Step 6: Final answer
    x = 10,297,857.40

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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.