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Finding the Fourth Proportional to 127,400,382,906.40, 191,100,574,359.60 and 127,400,382,906.40

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Solution

The fourth proportional to 127,400,382,906.40, 191,100,574,359.60 and 127,400,382,906.40 is: 191,100,574,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,400,382,906.40 : 191,100,574,359.60 = 127,400,382,906.40 : x
  2. Step 2: Convert to fraction form
    127,400,382,906.40/191,100,574,359.60 = 127,400,382,906.40/x
  3. Step 3: Cross multiply
    127,400,382,906.40x = 191,100,574,359.60 × 127,400,382,906.40
  4. Step 4: Simplify right side
    127,400,382,906.40x = 24,346,286,347,046,004,719,616
  5. Step 5: Solve for x
    x = 24,346,286,347,046,004,719,616/127,400,382,906.40
  6. Step 6: Final answer
    x = 191,100,574,359.60

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