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Finding the Fourth Proportional to 7,000,464.80, 10,504,844.40 and 5,102,429.60

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Solution

The fourth proportional to 7,000,464.80, 10,504,844.40 and 5,102,429.60 is: 7,656,667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000,464.80 : 10,504,844.40 = 5,102,429.60 : x
  2. Step 2: Convert to fraction form
    7,000,464.80/10,504,844.40 = 5,102,429.60/x
  3. Step 3: Cross multiply
    7,000,464.80x = 10,504,844.40 × 5,102,429.60
  4. Step 4: Simplify right side
    7,000,464.80x = 53,600,229,009,954.23
  5. Step 5: Solve for x
    x = 53,600,229,009,954.23/7,000,464.80
  6. Step 6: Final answer
    x = 7,656,667.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.