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Finding the Fourth Proportional to 381,691,657.60, 572,537,486.40 and 322,569,174.40

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Solution

The fourth proportional to 381,691,657.60, 572,537,486.40 and 322,569,174.40 is: 483,853,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,691,657.60 : 572,537,486.40 = 322,569,174.40 : x
  2. Step 2: Convert to fraction form
    381,691,657.60/572,537,486.40 = 322,569,174.40/x
  3. Step 3: Cross multiply
    381,691,657.60x = 572,537,486.40 × 322,569,174.40
  4. Step 4: Simplify right side
    381,691,657.60x = 184,682,944,301,099,200
  5. Step 5: Solve for x
    x = 184,682,944,301,099,200/381,691,657.60
  6. Step 6: Final answer
    x = 483,853,761.60

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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.