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Finding the Fourth Proportional to 971,163,010.10, 1,456,744,515.15 and 971,163,010.10

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Solution

The fourth proportional to 971,163,010.10, 1,456,744,515.15 and 971,163,010.10 is: 1,456,744,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,163,010.10 : 1,456,744,515.15 = 971,163,010.10 : x
  2. Step 2: Convert to fraction form
    971,163,010.10/1,456,744,515.15 = 971,163,010.10/x
  3. Step 3: Cross multiply
    971,163,010.10x = 1,456,744,515.15 × 971,163,010.10
  4. Step 4: Simplify right side
    971,163,010.10x = 1,414,736,388,279,739,136
  5. Step 5: Solve for x
    x = 1,414,736,388,279,739,136/971,163,010.10
  6. Step 6: Final answer
    x = 1,456,744,515.15

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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.