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Finding the Fourth Proportional to 281,724,297.60, 422,586,446.40 and 194,048,342.40

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Solution

The fourth proportional to 281,724,297.60, 422,586,446.40 and 194,048,342.40 is: 291,072,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,724,297.60 : 422,586,446.40 = 194,048,342.40 : x
  2. Step 2: Convert to fraction form
    281,724,297.60/422,586,446.40 = 194,048,342.40/x
  3. Step 3: Cross multiply
    281,724,297.60x = 422,586,446.40 × 194,048,342.40
  4. Step 4: Simplify right side
    281,724,297.60x = 82,002,199,444,626,448
  5. Step 5: Solve for x
    x = 82,002,199,444,626,448/281,724,297.60
  6. Step 6: Final answer
    x = 291,072,513.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.