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Finding the Fourth Proportional to 12,064,261,824,215, 18,096,392,736,322 and 12,064,261,824,215

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Solution

The fourth proportional to 12,064,261,824,215, 18,096,392,736,322 and 12,064,261,824,215 is: 18,096,392,736,322

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064,261,824,215 : 18,096,392,736,322 = 12,064,261,824,215 : x
  2. Step 2: Convert to fraction form
    12,064,261,824,215/18,096,392,736,322 = 12,064,261,824,215/x
  3. Step 3: Cross multiply
    12,064,261,824,215x = 18,096,392,736,322 × 12,064,261,824,215
  4. Step 4: Simplify right side
    12,064,261,824,215x = 218,319,620,044,811,125,047,427,072
  5. Step 5: Solve for x
    x = 218,319,620,044,811,125,047,427,072/12,064,261,824,215
  6. Step 6: Final answer
    x = 18,096,392,736,322

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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.