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Finding the Fourth Proportional to 971,012,722.20, 1,456,519,083.30 and 971,012,722.20

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Solution

The fourth proportional to 971,012,722.20, 1,456,519,083.30 and 971,012,722.20 is: 1,456,519,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,012,722.20 : 1,456,519,083.30 = 971,012,722.20 : x
  2. Step 2: Convert to fraction form
    971,012,722.20/1,456,519,083.30 = 971,012,722.20/x
  3. Step 3: Cross multiply
    971,012,722.20x = 1,456,519,083.30 × 971,012,722.20
  4. Step 4: Simplify right side
    971,012,722.20x = 1,414,298,560,011,381,504
  5. Step 5: Solve for x
    x = 1,414,298,560,011,381,504/971,012,722.20
  6. Step 6: Final answer
    x = 1,456,519,083.30

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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.