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Finding the Fourth Proportional to 186,438,591,009.73, 279,657,886,514.59 and 186,438,591,009.73

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Solution

The fourth proportional to 186,438,591,009.73, 279,657,886,514.59 and 186,438,591,009.73 is: 279,657,886,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,438,591,009.73 : 279,657,886,514.59 = 186,438,591,009.73 : x
  2. Step 2: Convert to fraction form
    186,438,591,009.73/279,657,886,514.59 = 186,438,591,009.73/x
  3. Step 3: Cross multiply
    186,438,591,009.73x = 279,657,886,514.59 × 186,438,591,009.73
  4. Step 4: Simplify right side
    186,438,591,009.73x = 52,139,022,326,539,143,348,224
  5. Step 5: Solve for x
    x = 52,139,022,326,539,143,348,224/186,438,591,009.73
  6. Step 6: Final answer
    x = 279,657,886,514.59

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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.