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Finding the Fourth Proportional to 186,438,591,010.53, 279,657,886,515.81 and 186,438,591,010.53

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Solution

The fourth proportional to 186,438,591,010.53, 279,657,886,515.81 and 186,438,591,010.53 is: 279,657,886,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,438,591,010.53 : 279,657,886,515.81 = 186,438,591,010.53 : x
  2. Step 2: Convert to fraction form
    186,438,591,010.53/279,657,886,515.81 = 186,438,591,010.53/x
  3. Step 3: Cross multiply
    186,438,591,010.53x = 279,657,886,515.81 × 186,438,591,010.53
  4. Step 4: Simplify right side
    186,438,591,010.53x = 52,139,022,326,990,316,240,896
  5. Step 5: Solve for x
    x = 52,139,022,326,990,316,240,896/186,438,591,010.53
  6. Step 6: Final answer
    x = 279,657,886,515.81

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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.