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Finding the Fourth Proportional to 534,135,027.40, 801,202,541.10 and 534,135,027.40

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Solution

The fourth proportional to 534,135,027.40, 801,202,541.10 and 534,135,027.40 is: 801,202,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,135,027.40 : 801,202,541.10 = 534,135,027.40 : x
  2. Step 2: Convert to fraction form
    534,135,027.40/801,202,541.10 = 534,135,027.40/x
  3. Step 3: Cross multiply
    534,135,027.40x = 801,202,541.10 × 534,135,027.40
  4. Step 4: Simplify right side
    534,135,027.40x = 427,950,341,243,398,144
  5. Step 5: Solve for x
    x = 427,950,341,243,398,144/534,135,027.40
  6. Step 6: Final answer
    x = 801,202,541.10

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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.