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Finding the Fourth Proportional to 468,195,594.66, 646,109,695.94 and 280,023,885.27

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Solution

The fourth proportional to 468,195,594.66, 646,109,695.94 and 280,023,885.27 is: 386,432,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,195,594.66 : 646,109,695.94 = 280,023,885.27 : x
  2. Step 2: Convert to fraction form
    468,195,594.66/646,109,695.94 = 280,023,885.27/x
  3. Step 3: Cross multiply
    468,195,594.66x = 646,109,695.94 × 280,023,885.27
  4. Step 4: Simplify right side
    468,195,594.66x = 180,926,147,366,336,992
  5. Step 5: Solve for x
    x = 180,926,147,366,336,992/468,195,594.66
  6. Step 6: Final answer
    x = 386,432,827.28

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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.