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Finding the Fourth Proportional to 11,912,784,736,513, 17,869,177,104,770 and 11,912,784,736,513

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Solution

The fourth proportional to 11,912,784,736,513, 17,869,177,104,770 and 11,912,784,736,513 is: 17,869,177,104,770

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912,784,736,513 : 17,869,177,104,770 = 11,912,784,736,513 : x
  2. Step 2: Convert to fraction form
    11,912,784,736,513/17,869,177,104,770 = 11,912,784,736,513/x
  3. Step 3: Cross multiply
    11,912,784,736,513x = 17,869,177,104,770 × 11,912,784,736,513
  4. Step 4: Simplify right side
    11,912,784,736,513x = 212,871,660,267,751,605,599,731,712
  5. Step 5: Solve for x
    x = 212,871,660,267,751,605,599,731,712/11,912,784,736,513
  6. Step 6: Final answer
    x = 17,869,177,104,770

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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.