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Finding the Fourth Proportional to 186,188,543,999.10, 279,282,815,998.65 and 186,188,543,999.10

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Solution

The fourth proportional to 186,188,543,999.10, 279,282,815,998.65 and 186,188,543,999.10 is: 279,282,815,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,188,543,999.10 : 279,282,815,998.65 = 186,188,543,999.10 : x
  2. Step 2: Convert to fraction form
    186,188,543,999.10/279,282,815,998.65 = 186,188,543,999.10/x
  3. Step 3: Cross multiply
    186,188,543,999.10x = 279,282,815,998.65 × 186,188,543,999.10
  4. Step 4: Simplify right side
    186,188,543,999.10x = 51,999,260,874,757,201,985,536
  5. Step 5: Solve for x
    x = 51,999,260,874,757,201,985,536/186,188,543,999.10
  6. Step 6: Final answer
    x = 279,282,815,998.65

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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.