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Finding the Fourth Proportional to 322,883,442, 445,579,032.78 and 176,205,726

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Solution

The fourth proportional to 322,883,442, 445,579,032.78 and 176,205,726 is: 243,163,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,883,442 : 445,579,032.78 = 176,205,726 : x
  2. Step 2: Convert to fraction form
    322,883,442/445,579,032.78 = 176,205,726/x
  3. Step 3: Cross multiply
    322,883,442x = 445,579,032.78 × 176,205,726
  4. Step 4: Simplify right side
    322,883,442x = 78,513,576,961,377,696
  5. Step 5: Solve for x
    x = 78,513,576,961,377,696/322,883,442
  6. Step 6: Final answer
    x = 243,163,837.93

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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.