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Finding the Fourth Proportional to 229,880,476.80, 344,988,676.80 and 161,856,028.80

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Solution

The fourth proportional to 229,880,476.80, 344,988,676.80 and 161,856,028.80 is: 242,902,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,880,476.80 : 344,988,676.80 = 161,856,028.80 : x
  2. Step 2: Convert to fraction form
    229,880,476.80/344,988,676.80 = 161,856,028.80/x
  3. Step 3: Cross multiply
    229,880,476.80x = 344,988,676.80 × 161,856,028.80
  4. Step 4: Simplify right side
    229,880,476.80x = 55,838,497,207,814,696
  5. Step 5: Solve for x
    x = 55,838,497,207,814,696/229,880,476.80
  6. Step 6: Final answer
    x = 242,902,302.91

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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.