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Finding the Fourth Proportional to 782,855,289.12, 1,080,344,569.10 and 460,997,298.48

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Solution

The fourth proportional to 782,855,289.12, 1,080,344,569.10 and 460,997,298.48 is: 636,178,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,855,289.12 : 1,080,344,569.10 = 460,997,298.48 : x
  2. Step 2: Convert to fraction form
    782,855,289.12/1,080,344,569.10 = 460,997,298.48/x
  3. Step 3: Cross multiply
    782,855,289.12x = 1,080,344,569.10 × 460,997,298.48
  4. Step 4: Simplify right side
    782,855,289.12x = 498,035,927,780,334,720
  5. Step 5: Solve for x
    x = 498,035,927,780,334,720/782,855,289.12
  6. Step 6: Final answer
    x = 636,178,786.43

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