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Finding the Fourth Proportional to 186,438,591,002.78, 279,657,886,504.17 and 186,438,591,002.78

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Solution

The fourth proportional to 186,438,591,002.78, 279,657,886,504.17 and 186,438,591,002.78 is: 279,657,886,504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,438,591,002.78 : 279,657,886,504.17 = 186,438,591,002.78 : x
  2. Step 2: Convert to fraction form
    186,438,591,002.78/279,657,886,504.17 = 186,438,591,002.78/x
  3. Step 3: Cross multiply
    186,438,591,002.78x = 279,657,886,504.17 × 186,438,591,002.78
  4. Step 4: Simplify right side
    186,438,591,002.78x = 52,139,022,322,652,818,702,336
  5. Step 5: Solve for x
    x = 52,139,022,322,652,818,702,336/186,438,591,002.78
  6. Step 6: Final answer
    x = 279,657,886,504.17

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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.