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Finding the Fourth Proportional to 453,729,129,986.45, 680,593,694,979.68 and 453,729,129,986.45

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Solution

The fourth proportional to 453,729,129,986.45, 680,593,694,979.68 and 453,729,129,986.45 is: 680,593,694,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,729,129,986.45 : 680,593,694,979.68 = 453,729,129,986.45 : x
  2. Step 2: Convert to fraction form
    453,729,129,986.45/680,593,694,979.68 = 453,729,129,986.45/x
  3. Step 3: Cross multiply
    453,729,129,986.45x = 680,593,694,979.68 × 453,729,129,986.45
  4. Step 4: Simplify right side
    453,729,129,986.45x = 308,805,185,097,393,594,433,536
  5. Step 5: Solve for x
    x = 308,805,185,097,393,594,433,536/453,729,129,986.45
  6. Step 6: Final answer
    x = 680,593,694,979.68

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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.