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Finding the Fourth Proportional to 1,003,781,933.28, 1,503,492,496.56 and 485,124,644.88

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Solution

The fourth proportional to 1,003,781,933.28, 1,503,492,496.56 and 485,124,644.88 is: 726,633,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,781,933.28 : 1,503,492,496.56 = 485,124,644.88 : x
  2. Step 2: Convert to fraction form
    1,003,781,933.28/1,503,492,496.56 = 485,124,644.88/x
  3. Step 3: Cross multiply
    1,003,781,933.28x = 1,503,492,496.56 × 485,124,644.88
  4. Step 4: Simplify right side
    1,003,781,933.28x = 729,381,263,473,414,528
  5. Step 5: Solve for x
    x = 729,381,263,473,414,528/1,003,781,933.28
  6. Step 6: Final answer
    x = 726,633,185.25

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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.