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Finding the Fourth Proportional to 126,141,468.15, 189,212,202.23 and 126,141,468.15

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Solution

The fourth proportional to 126,141,468.15, 189,212,202.23 and 126,141,468.15 is: 189,212,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,141,468.15 : 189,212,202.23 = 126,141,468.15 : x
  2. Step 2: Convert to fraction form
    126,141,468.15/189,212,202.23 = 126,141,468.15/x
  3. Step 3: Cross multiply
    126,141,468.15x = 189,212,202.23 × 126,141,468.15
  4. Step 4: Simplify right side
    126,141,468.15x = 23,867,504,980,556,196
  5. Step 5: Solve for x
    x = 23,867,504,980,556,196/126,141,468.15
  6. Step 6: Final answer
    x = 189,212,202.23

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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.