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Finding the Fourth Proportional to 18,058,107,668,114, 27,087,161,502,171 and 18,058,107,668,114

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Solution

The fourth proportional to 18,058,107,668,114, 27,087,161,502,171 and 18,058,107,668,114 is: 27,087,161,502,171

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,058,107,668,114 : 27,087,161,502,171 = 18,058,107,668,114 : x
  2. Step 2: Convert to fraction form
    18,058,107,668,114/27,087,161,502,171 = 18,058,107,668,114/x
  3. Step 3: Cross multiply
    18,058,107,668,114x = 27,087,161,502,171 × 18,058,107,668,114
  4. Step 4: Simplify right side
    18,058,107,668,114x = 489,142,878,829,796,468,574,912,512
  5. Step 5: Solve for x
    x = 489,142,878,829,796,468,574,912,512/18,058,107,668,114
  6. Step 6: Final answer
    x = 27,087,161,502,171

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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.