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Finding the Fourth Proportional to 68,540,201,999.70, 102,616,811,236.35 and 68,540,201,999.70

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Solution

The fourth proportional to 68,540,201,999.70, 102,616,811,236.35 and 68,540,201,999.70 is: 102,616,811,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,540,201,999.70 : 102,616,811,236.35 = 68,540,201,999.70 : x
  2. Step 2: Convert to fraction form
    68,540,201,999.70/102,616,811,236.35 = 68,540,201,999.70/x
  3. Step 3: Cross multiply
    68,540,201,999.70x = 102,616,811,236.35 × 68,540,201,999.70
  4. Step 4: Simplify right side
    68,540,201,999.70x = 7,033,376,970,704,514,187,264
  5. Step 5: Solve for x
    x = 7,033,376,970,704,514,187,264/68,540,201,999.70
  6. Step 6: Final answer
    x = 102,616,811,236.35

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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.