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Finding the Fourth Proportional to 362,018,376,446.20, 543,027,564,669.30 and 362,018,376,446.20

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Solution

The fourth proportional to 362,018,376,446.20, 543,027,564,669.30 and 362,018,376,446.20 is: 543,027,564,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,018,376,446.20 : 543,027,564,669.30 = 362,018,376,446.20 : x
  2. Step 2: Convert to fraction form
    362,018,376,446.20/543,027,564,669.30 = 362,018,376,446.20/x
  3. Step 3: Cross multiply
    362,018,376,446.20x = 543,027,564,669.30 × 362,018,376,446.20
  4. Step 4: Simplify right side
    362,018,376,446.20x = 196,585,957,327,113,868,541,952
  5. Step 5: Solve for x
    x = 196,585,957,327,113,868,541,952/362,018,376,446.20
  6. Step 6: Final answer
    x = 543,027,564,669.30

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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.