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Finding the Fourth Proportional to 12,254,482,026,140, 18,381,723,039,210 and 12,254,482,026,140

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Solution

The fourth proportional to 12,254,482,026,140, 18,381,723,039,210 and 12,254,482,026,140 is: 18,381,723,039,210

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254,482,026,140 : 18,381,723,039,210 = 12,254,482,026,140 : x
  2. Step 2: Convert to fraction form
    12,254,482,026,140/18,381,723,039,210 = 12,254,482,026,140/x
  3. Step 3: Cross multiply
    12,254,482,026,140x = 18,381,723,039,210 × 12,254,482,026,140
  4. Step 4: Simplify right side
    12,254,482,026,140x = 225,258,494,593,482,489,897,943,040
  5. Step 5: Solve for x
    x = 225,258,494,593,482,489,897,943,040/12,254,482,026,140
  6. Step 6: Final answer
    x = 18,381,723,039,210

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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.