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Finding the Fourth Proportional to 186,228,035,999.78, 279,342,053,999.65 and 186,228,035,999.78

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Solution

The fourth proportional to 186,228,035,999.78, 279,342,053,999.65 and 186,228,035,999.78 is: 279,342,053,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,228,035,999.78 : 279,342,053,999.65 = 186,228,035,999.78 : x
  2. Step 2: Convert to fraction form
    186,228,035,999.78/279,342,053,999.65 = 186,228,035,999.78/x
  3. Step 3: Cross multiply
    186,228,035,999.78x = 279,342,053,999.65 × 186,228,035,999.78
  4. Step 4: Simplify right side
    186,228,035,999.78x = 52,021,322,088,499,313,115,136
  5. Step 5: Solve for x
    x = 52,021,322,088,499,313,115,136/186,228,035,999.78
  6. Step 6: Final answer
    x = 279,342,053,999.65

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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.