Home / 204,370,142,390.40-282,027,795,024.96-114,150,912,643.20

Finding the Fourth Proportional to 204,370,142,390.40, 282,027,795,024.96 and 114,150,912,643.20

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Solution

The fourth proportional to 204,370,142,390.40, 282,027,795,024.96 and 114,150,912,643.20 is: 157,526,582,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,370,142,390.40 : 282,027,795,024.96 = 114,150,912,643.20 : x
  2. Step 2: Convert to fraction form
    204,370,142,390.40/282,027,795,024.96 = 114,150,912,643.20/x
  3. Step 3: Cross multiply
    204,370,142,390.40x = 282,027,795,024.96 × 114,150,912,643.20
  4. Step 4: Simplify right side
    204,370,142,390.40x = 32,193,730,192,848,524,935,168
  5. Step 5: Solve for x
    x = 32,193,730,192,848,524,935,168/204,370,142,390.40
  6. Step 6: Final answer
    x = 157,526,582,974.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.