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Finding the Fourth Proportional to 186,438,591,010.90, 279,657,886,516.38 and 186,438,591,010.90

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Solution

The fourth proportional to 186,438,591,010.90, 279,657,886,516.38 and 186,438,591,010.90 is: 279,657,886,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,438,591,010.90 : 279,657,886,516.38 = 186,438,591,010.90 : x
  2. Step 2: Convert to fraction form
    186,438,591,010.90/279,657,886,516.38 = 186,438,591,010.90/x
  3. Step 3: Cross multiply
    186,438,591,010.90x = 279,657,886,516.38 × 186,438,591,010.90
  4. Step 4: Simplify right side
    186,438,591,010.90x = 52,139,022,327,200,056,606,720
  5. Step 5: Solve for x
    x = 52,139,022,327,200,056,606,720/186,438,591,010.90
  6. Step 6: Final answer
    x = 279,657,886,516.38

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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.