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Finding the Fourth Proportional to 880,751,822.02, 1,321,642,898.66 and 328,435,819.54

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Solution

The fourth proportional to 880,751,822.02, 1,321,642,898.66 and 328,435,819.54 is: 492,845,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,751,822.02 : 1,321,642,898.66 = 328,435,819.54 : x
  2. Step 2: Convert to fraction form
    880,751,822.02/1,321,642,898.66 = 328,435,819.54/x
  3. Step 3: Cross multiply
    880,751,822.02x = 1,321,642,898.66 × 328,435,819.54
  4. Step 4: Simplify right side
    880,751,822.02x = 434,074,868,558,135,232
  5. Step 5: Solve for x
    x = 434,074,868,558,135,232/880,751,822.02
  6. Step 6: Final answer
    x = 492,845,836.60

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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.