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Finding the Fourth Proportional to 2,597,582,696.70, 3,896,925,363.45 and 850,656,396.54

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Solution

The fourth proportional to 2,597,582,696.70, 3,896,925,363.45 and 850,656,396.54 is: 1,276,165,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597,582,696.70 : 3,896,925,363.45 = 850,656,396.54 : x
  2. Step 2: Convert to fraction form
    2,597,582,696.70/3,896,925,363.45 = 850,656,396.54/x
  3. Step 3: Cross multiply
    2,597,582,696.70x = 3,896,925,363.45 × 850,656,396.54
  4. Step 4: Simplify right side
    2,597,582,696.70x = 3,314,944,487,257,706,496
  5. Step 5: Solve for x
    x = 3,314,944,487,257,706,496/2,597,582,696.70
  6. Step 6: Final answer
    x = 1,276,165,140.56

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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.