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Finding the Fourth Proportional to 320,794,274.88, 442,696,949.64 and 174,116,558.88

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Solution

The fourth proportional to 320,794,274.88, 442,696,949.64 and 174,116,558.88 is: 240,281,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,794,274.88 : 442,696,949.64 = 174,116,558.88 : x
  2. Step 2: Convert to fraction form
    320,794,274.88/442,696,949.64 = 174,116,558.88/x
  3. Step 3: Cross multiply
    320,794,274.88x = 442,696,949.64 × 174,116,558.88
  4. Step 4: Simplify right side
    320,794,274.88x = 77,080,869,497,989,456
  5. Step 5: Solve for x
    x = 77,080,869,497,989,456/320,794,274.88
  6. Step 6: Final answer
    x = 240,281,312.77

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Why These Related Problems?

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