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Finding the Fourth Proportional to 880,751,823.54, 1,321,642,900.96 and 328,435,821.06

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Solution

The fourth proportional to 880,751,823.54, 1,321,642,900.96 and 328,435,821.06 is: 492,845,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,751,823.54 : 1,321,642,900.96 = 328,435,821.06 : x
  2. Step 2: Convert to fraction form
    880,751,823.54/1,321,642,900.96 = 328,435,821.06/x
  3. Step 3: Cross multiply
    880,751,823.54x = 1,321,642,900.96 × 328,435,821.06
  4. Step 4: Simplify right side
    880,751,823.54x = 434,074,871,324,917,888
  5. Step 5: Solve for x
    x = 434,074,871,324,917,888/880,751,823.54
  6. Step 6: Final answer
    x = 492,845,838.89

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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.