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Finding the Fourth Proportional to 218,376,348,523.10, 327,564,522,784.65 and 218,376,348,523.10

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Solution

The fourth proportional to 218,376,348,523.10, 327,564,522,784.65 and 218,376,348,523.10 is: 327,564,522,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,376,348,523.10 : 327,564,522,784.65 = 218,376,348,523.10 : x
  2. Step 2: Convert to fraction form
    218,376,348,523.10/327,564,522,784.65 = 218,376,348,523.10/x
  3. Step 3: Cross multiply
    218,376,348,523.10x = 327,564,522,784.65 × 218,376,348,523.10
  4. Step 4: Simplify right side
    218,376,348,523.10x = 71,532,344,391,423,666,159,616
  5. Step 5: Solve for x
    x = 71,532,344,391,423,666,159,616/218,376,348,523.10
  6. Step 6: Final answer
    x = 327,564,522,784.65

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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.