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Finding the Fourth Proportional to 552,648,304.80, 828,972,457.20 and 469,424,644.20

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Solution

The fourth proportional to 552,648,304.80, 828,972,457.20 and 469,424,644.20 is: 704,136,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,648,304.80 : 828,972,457.20 = 469,424,644.20 : x
  2. Step 2: Convert to fraction form
    552,648,304.80/828,972,457.20 = 469,424,644.20/x
  3. Step 3: Cross multiply
    552,648,304.80x = 828,972,457.20 × 469,424,644.20
  4. Step 4: Simplify right side
    552,648,304.80x = 389,140,100,772,709,760
  5. Step 5: Solve for x
    x = 389,140,100,772,709,760/552,648,304.80
  6. Step 6: Final answer
    x = 704,136,966.30

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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.