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Finding the Fourth Proportional to 464,268,994.82, 640,691,191.34 and 255,420,653.44

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Solution

The fourth proportional to 464,268,994.82, 640,691,191.34 and 255,420,653.44 is: 352,480,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,268,994.82 : 640,691,191.34 = 255,420,653.44 : x
  2. Step 2: Convert to fraction form
    464,268,994.82/640,691,191.34 = 255,420,653.44/x
  3. Step 3: Cross multiply
    464,268,994.82x = 640,691,191.34 × 255,420,653.44
  4. Step 4: Simplify right side
    464,268,994.82x = 163,645,762,745,314,880
  5. Step 5: Solve for x
    x = 163,645,762,745,314,880/464,268,994.82
  6. Step 6: Final answer
    x = 352,480,489.91

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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.