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Finding the Fourth Proportional to 408,203,422.30, 612,305,133.45 and 408,203,422.30

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Solution

The fourth proportional to 408,203,422.30, 612,305,133.45 and 408,203,422.30 is: 612,305,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,203,422.30 : 612,305,133.45 = 408,203,422.30 : x
  2. Step 2: Convert to fraction form
    408,203,422.30/612,305,133.45 = 408,203,422.30/x
  3. Step 3: Cross multiply
    408,203,422.30x = 612,305,133.45 × 408,203,422.30
  4. Step 4: Simplify right side
    408,203,422.30x = 249,945,050,966,148,224
  5. Step 5: Solve for x
    x = 249,945,050,966,148,224/408,203,422.30
  6. Step 6: Final answer
    x = 612,305,133.45

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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.