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Finding the Fourth Proportional to 413,374,562.80, 620,061,844.20 and 140,745,329.80

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Solution

The fourth proportional to 413,374,562.80, 620,061,844.20 and 140,745,329.80 is: 211,117,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,374,562.80 : 620,061,844.20 = 140,745,329.80 : x
  2. Step 2: Convert to fraction form
    413,374,562.80/620,061,844.20 = 140,745,329.80/x
  3. Step 3: Cross multiply
    413,374,562.80x = 620,061,844.20 × 140,745,329.80
  4. Step 4: Simplify right side
    413,374,562.80x = 87,270,808,758,325,232
  5. Step 5: Solve for x
    x = 87,270,808,758,325,232/413,374,562.80
  6. Step 6: Final answer
    x = 211,117,994.70

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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.