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Finding the Fourth Proportional to 843,743,994.06, 1,265,644,693.84 and 400,858,104.08

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Solution

The fourth proportional to 843,743,994.06, 1,265,644,693.84 and 400,858,104.08 is: 601,300,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,743,994.06 : 1,265,644,693.84 = 400,858,104.08 : x
  2. Step 2: Convert to fraction form
    843,743,994.06/1,265,644,693.84 = 400,858,104.08/x
  3. Step 3: Cross multiply
    843,743,994.06x = 1,265,644,693.84 × 400,858,104.08
  4. Step 4: Simplify right side
    843,743,994.06x = 507,343,932,411,614,400
  5. Step 5: Solve for x
    x = 507,343,932,411,614,400/843,743,994.06
  6. Step 6: Final answer
    x = 601,300,792.64

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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.