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Finding the Fourth Proportional to 298,571,874.79, 412,031,099.84 and 166,421,250.76

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Solution

The fourth proportional to 298,571,874.79, 412,031,099.84 and 166,421,250.76 is: 229,662,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,571,874.79 : 412,031,099.84 = 166,421,250.76 : x
  2. Step 2: Convert to fraction form
    298,571,874.79/412,031,099.84 = 166,421,250.76/x
  3. Step 3: Cross multiply
    298,571,874.79x = 412,031,099.84 × 166,421,250.76
  4. Step 4: Simplify right side
    298,571,874.79x = 68,570,730,987,391,224
  5. Step 5: Solve for x
    x = 68,570,730,987,391,224/298,571,874.79
  6. Step 6: Final answer
    x = 229,662,392.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.