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Finding the Fourth Proportional to 68,951,843,999.40, 103,427,765,999.10 and 68,951,843,999.40

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Solution

The fourth proportional to 68,951,843,999.40, 103,427,765,999.10 and 68,951,843,999.40 is: 103,427,765,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,951,843,999.40 : 103,427,765,999.10 = 68,951,843,999.40 : x
  2. Step 2: Convert to fraction form
    68,951,843,999.40/103,427,765,999.10 = 68,951,843,999.40/x
  3. Step 3: Cross multiply
    68,951,843,999.40x = 103,427,765,999.10 × 68,951,843,999.40
  4. Step 4: Simplify right side
    68,951,843,999.40x = 7,131,535,186,376,390,606,848
  5. Step 5: Solve for x
    x = 7,131,535,186,376,390,606,848/68,951,843,999.40
  6. Step 6: Final answer
    x = 103,427,765,999.10

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1.5x scale

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.