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Finding the Fourth Proportional to 453,729,129,978.70, 680,593,694,968.05 and 453,729,129,978.70

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Solution

The fourth proportional to 453,729,129,978.70, 680,593,694,968.05 and 453,729,129,978.70 is: 680,593,694,968.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,729,129,978.70 : 680,593,694,968.05 = 453,729,129,978.70 : x
  2. Step 2: Convert to fraction form
    453,729,129,978.70/680,593,694,968.05 = 453,729,129,978.70/x
  3. Step 3: Cross multiply
    453,729,129,978.70x = 680,593,694,968.05 × 453,729,129,978.70
  4. Step 4: Simplify right side
    453,729,129,978.70x = 308,805,185,086,842,067,746,816
  5. Step 5: Solve for x
    x = 308,805,185,086,842,067,746,816/453,729,129,978.70
  6. Step 6: Final answer
    x = 680,593,694,968.05

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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.