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Finding the Fourth Proportional to 386,997,654.30, 543,327,266.10 and 386,997,654.30

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Solution

The fourth proportional to 386,997,654.30, 543,327,266.10 and 386,997,654.30 is: 543,327,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,997,654.30 : 543,327,266.10 = 386,997,654.30 : x
  2. Step 2: Convert to fraction form
    386,997,654.30/543,327,266.10 = 386,997,654.30/x
  3. Step 3: Cross multiply
    386,997,654.30x = 543,327,266.10 × 386,997,654.30
  4. Step 4: Simplify right side
    386,997,654.30x = 210,266,377,497,931,936
  5. Step 5: Solve for x
    x = 210,266,377,497,931,936/386,997,654.30
  6. Step 6: Final answer
    x = 543,327,266.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.