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Finding the Fourth Proportional to 298,064,722.64, 411,329,337.02 and 165,902,882.90

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Solution

The fourth proportional to 298,064,722.64, 411,329,337.02 and 165,902,882.90 is: 228,945,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,064,722.64 : 411,329,337.02 = 165,902,882.90 : x
  2. Step 2: Convert to fraction form
    298,064,722.64/411,329,337.02 = 165,902,882.90/x
  3. Step 3: Cross multiply
    298,064,722.64x = 411,329,337.02 × 165,902,882.90
  4. Step 4: Simplify right side
    298,064,722.64x = 68,240,722,832,963,696
  5. Step 5: Solve for x
    x = 68,240,722,832,963,696/298,064,722.64
  6. Step 6: Final answer
    x = 228,945,989.41

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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.