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Finding the Fourth Proportional to 298,571,873.94, 412,031,098.68 and 166,421,249.91

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Solution

The fourth proportional to 298,571,873.94, 412,031,098.68 and 166,421,249.91 is: 229,662,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,571,873.94 : 412,031,098.68 = 166,421,249.91 : x
  2. Step 2: Convert to fraction form
    298,571,873.94/412,031,098.68 = 166,421,249.91/x
  3. Step 3: Cross multiply
    298,571,873.94x = 412,031,098.68 × 166,421,249.91
  4. Step 4: Simplify right side
    298,571,873.94x = 68,570,730,444,116,152
  5. Step 5: Solve for x
    x = 68,570,730,444,116,152/298,571,873.94
  6. Step 6: Final answer
    x = 229,662,390.97

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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.