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Finding the Fourth Proportional to 468,356,822.87, 646,333,175.18 and 256,630,008.71

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Solution

The fourth proportional to 468,356,822.87, 646,333,175.18 and 256,630,008.71 is: 354,149,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,356,822.87 : 646,333,175.18 = 256,630,008.71 : x
  2. Step 2: Convert to fraction form
    468,356,822.87/646,333,175.18 = 256,630,008.71/x
  3. Step 3: Cross multiply
    468,356,822.87x = 646,333,175.18 × 256,630,008.71
  4. Step 4: Simplify right side
    468,356,822.87x = 165,868,488,378,262,784
  5. Step 5: Solve for x
    x = 165,868,488,378,262,784/468,356,822.87
  6. Step 6: Final answer
    x = 354,149,828.25

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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.