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Finding the Fourth Proportional to 546,536,701.80, 819,805,052.70 and 493,817,754.60

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Solution

The fourth proportional to 546,536,701.80, 819,805,052.70 and 493,817,754.60 is: 740,726,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,536,701.80 : 819,805,052.70 = 493,817,754.60 : x
  2. Step 2: Convert to fraction form
    546,536,701.80/819,805,052.70 = 493,817,754.60/x
  3. Step 3: Cross multiply
    546,536,701.80x = 819,805,052.70 × 493,817,754.60
  4. Step 4: Simplify right side
    546,536,701.80x = 404,834,290,334,048,704
  5. Step 5: Solve for x
    x = 404,834,290,334,048,704/546,536,701.80
  6. Step 6: Final answer
    x = 740,726,631.90

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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.