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Finding the Fourth Proportional to 409,981,636.62, 565,261,445.97 and 342,184,084.20

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Solution

The fourth proportional to 409,981,636.62, 565,261,445.97 and 342,184,084.20 is: 471,785,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,981,636.62 : 565,261,445.97 = 342,184,084.20 : x
  2. Step 2: Convert to fraction form
    409,981,636.62/565,261,445.97 = 342,184,084.20/x
  3. Step 3: Cross multiply
    409,981,636.62x = 565,261,445.97 × 342,184,084.20
  4. Step 4: Simplify right side
    409,981,636.62x = 193,423,470,222,812,224
  5. Step 5: Solve for x
    x = 193,423,470,222,812,224/409,981,636.62
  6. Step 6: Final answer
    x = 471,785,692.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.