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Finding the Fourth Proportional to 96,536,297,003.20, 144,804,445,504.80 and 96,536,297,003.20

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Solution

The fourth proportional to 96,536,297,003.20, 144,804,445,504.80 and 96,536,297,003.20 is: 144,804,445,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,536,297,003.20 : 144,804,445,504.80 = 96,536,297,003.20 : x
  2. Step 2: Convert to fraction form
    96,536,297,003.20/144,804,445,504.80 = 96,536,297,003.20/x
  3. Step 3: Cross multiply
    96,536,297,003.20x = 144,804,445,504.80 × 96,536,297,003.20
  4. Step 4: Simplify right side
    96,536,297,003.20x = 13,978,884,958,635,060,887,552
  5. Step 5: Solve for x
    x = 13,978,884,958,635,060,887,552/96,536,297,003.20
  6. Step 6: Final answer
    x = 144,804,445,504.80

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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.