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Finding the Fourth Proportional to 85,141,509,264.60, 127,712,263,896.90 and 85,141,509,264.60

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Solution

The fourth proportional to 85,141,509,264.60, 127,712,263,896.90 and 85,141,509,264.60 is: 127,712,263,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,141,509,264.60 : 127,712,263,896.90 = 85,141,509,264.60 : x
  2. Step 2: Convert to fraction form
    85,141,509,264.60/127,712,263,896.90 = 85,141,509,264.60/x
  3. Step 3: Cross multiply
    85,141,509,264.60x = 127,712,263,896.90 × 85,141,509,264.60
  4. Step 4: Simplify right side
    85,141,509,264.60x = 10,873,614,899,780,951,998,464
  5. Step 5: Solve for x
    x = 10,873,614,899,780,951,998,464/85,141,509,264.60
  6. Step 6: Final answer
    x = 127,712,263,896.90

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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.