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Finding the Fourth Proportional to 186,438,590,998.73, 279,657,886,498.09 and 186,438,590,998.73

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Solution

The fourth proportional to 186,438,590,998.73, 279,657,886,498.09 and 186,438,590,998.73 is: 279,657,886,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,438,590,998.73 : 279,657,886,498.09 = 186,438,590,998.73 : x
  2. Step 2: Convert to fraction form
    186,438,590,998.73/279,657,886,498.09 = 186,438,590,998.73/x
  3. Step 3: Cross multiply
    186,438,590,998.73x = 279,657,886,498.09 × 186,438,590,998.73
  4. Step 4: Simplify right side
    186,438,590,998.73x = 52,139,022,320,386,669,805,568
  5. Step 5: Solve for x
    x = 52,139,022,320,386,669,805,568/186,438,590,998.73
  6. Step 6: Final answer
    x = 279,657,886,498.09

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.