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Finding the Fourth Proportional to 65,531,268,051.30, 98,296,902,076.95 and 65,531,268,051.30

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Solution

The fourth proportional to 65,531,268,051.30, 98,296,902,076.95 and 65,531,268,051.30 is: 98,296,902,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,531,268,051.30 : 98,296,902,076.95 = 65,531,268,051.30 : x
  2. Step 2: Convert to fraction form
    65,531,268,051.30/98,296,902,076.95 = 65,531,268,051.30/x
  3. Step 3: Cross multiply
    65,531,268,051.30x = 98,296,902,076.95 × 65,531,268,051.30
  4. Step 4: Simplify right side
    65,531,268,051.30x = 6,441,520,638,616,998,510,592
  5. Step 5: Solve for x
    x = 6,441,520,638,616,998,510,592/65,531,268,051.30
  6. Step 6: Final answer
    x = 98,296,902,076.95

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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.