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Finding the Fourth Proportional to 1,268,188,656.40, 1,771,836,148.40 and 1,268,188,656.40

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Solution

The fourth proportional to 1,268,188,656.40, 1,771,836,148.40 and 1,268,188,656.40 is: 1,771,836,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,188,656.40 : 1,771,836,148.40 = 1,268,188,656.40 : x
  2. Step 2: Convert to fraction form
    1,268,188,656.40/1,771,836,148.40 = 1,268,188,656.40/x
  3. Step 3: Cross multiply
    1,268,188,656.40x = 1,771,836,148.40 × 1,268,188,656.40
  4. Step 4: Simplify right side
    1,268,188,656.40x = 2,247,022,504,400,347,392
  5. Step 5: Solve for x
    x = 2,247,022,504,400,347,392/1,268,188,656.40
  6. Step 6: Final answer
    x = 1,771,836,148.40

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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.