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Finding the Fourth Proportional to 782,283,744,034.20, 1,173,425,616,051.30 and 782,283,744,034.20

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Solution

The fourth proportional to 782,283,744,034.20, 1,173,425,616,051.30 and 782,283,744,034.20 is: 1,173,425,616,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,283,744,034.20 : 1,173,425,616,051.30 = 782,283,744,034.20 : x
  2. Step 2: Convert to fraction form
    782,283,744,034.20/1,173,425,616,051.30 = 782,283,744,034.20/x
  3. Step 3: Cross multiply
    782,283,744,034.20x = 1,173,425,616,051.30 × 782,283,744,034.20
  4. Step 4: Simplify right side
    782,283,744,034.20x = 917,951,784,270,248,611,414,016
  5. Step 5: Solve for x
    x = 917,951,784,270,248,611,414,016/782,283,744,034.20
  6. Step 6: Final answer
    x = 1,173,425,616,051.30

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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.