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Finding the Fourth Proportional to 4,665,891.60, 6,998,837.40 and 4,665,891.60

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Solution

The fourth proportional to 4,665,891.60, 6,998,837.40 and 4,665,891.60 is: 6,998,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665,891.60 : 6,998,837.40 = 4,665,891.60 : x
  2. Step 2: Convert to fraction form
    4,665,891.60/6,998,837.40 = 4,665,891.60/x
  3. Step 3: Cross multiply
    4,665,891.60x = 6,998,837.40 × 4,665,891.60
  4. Step 4: Simplify right side
    4,665,891.60x = 32,655,816,634,425.84
  5. Step 5: Solve for x
    x = 32,655,816,634,425.84/4,665,891.60
  6. Step 6: Final answer
    x = 6,998,837.40

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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.