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Finding the Fourth Proportional to 523,175,696.80, 721,928,257.68 and 322,200,772

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Solution

The fourth proportional to 523,175,696.80, 721,928,257.68 and 322,200,772 is: 444,603,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,175,696.80 : 721,928,257.68 = 322,200,772 : x
  2. Step 2: Convert to fraction form
    523,175,696.80/721,928,257.68 = 322,200,772/x
  3. Step 3: Cross multiply
    523,175,696.80x = 721,928,257.68 × 322,200,772
  4. Step 4: Simplify right side
    523,175,696.80x = 232,605,841,953,110,912
  5. Step 5: Solve for x
    x = 232,605,841,953,110,912/523,175,696.80
  6. Step 6: Final answer
    x = 444,603,683.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.