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Finding the Fourth Proportional to 413,570,843.60, 620,356,265.40 and 382,003,248.20

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Solution

The fourth proportional to 413,570,843.60, 620,356,265.40 and 382,003,248.20 is: 573,004,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,570,843.60 : 620,356,265.40 = 382,003,248.20 : x
  2. Step 2: Convert to fraction form
    413,570,843.60/620,356,265.40 = 382,003,248.20/x
  3. Step 3: Cross multiply
    413,570,843.60x = 620,356,265.40 × 382,003,248.20
  4. Step 4: Simplify right side
    413,570,843.60x = 236,978,108,424,021,248
  5. Step 5: Solve for x
    x = 236,978,108,424,021,248/413,570,843.60
  6. Step 6: Final answer
    x = 573,004,872.30

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