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Finding the Fourth Proportional to 453,729,129,985.46, 680,593,694,978.18 and 453,729,129,985.46

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Solution

The fourth proportional to 453,729,129,985.46, 680,593,694,978.18 and 453,729,129,985.46 is: 680,593,694,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,729,129,985.46 : 680,593,694,978.18 = 453,729,129,985.46 : x
  2. Step 2: Convert to fraction form
    453,729,129,985.46/680,593,694,978.18 = 453,729,129,985.46/x
  3. Step 3: Cross multiply
    453,729,129,985.46x = 680,593,694,978.18 × 453,729,129,985.46
  4. Step 4: Simplify right side
    453,729,129,985.46x = 308,805,185,096,039,203,340,288
  5. Step 5: Solve for x
    x = 308,805,185,096,039,203,340,288/453,729,129,985.46
  6. Step 6: Final answer
    x = 680,593,694,978.18

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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.