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Finding the Fourth Proportional to 274,752,705.60, 412,129,058.40 and 257,746,593.60

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Solution

The fourth proportional to 274,752,705.60, 412,129,058.40 and 257,746,593.60 is: 386,619,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,752,705.60 : 412,129,058.40 = 257,746,593.60 : x
  2. Step 2: Convert to fraction form
    274,752,705.60/412,129,058.40 = 257,746,593.60/x
  3. Step 3: Cross multiply
    274,752,705.60x = 412,129,058.40 × 257,746,593.60
  4. Step 4: Simplify right side
    274,752,705.60x = 106,224,860,926,175,456
  5. Step 5: Solve for x
    x = 106,224,860,926,175,456/274,752,705.60
  6. Step 6: Final answer
    x = 386,619,890.40

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Why These Related Problems?

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