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Finding the Fourth Proportional to 298,571,872.94, 412,031,097.30 and 166,421,248.91

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Solution

The fourth proportional to 298,571,872.94, 412,031,097.30 and 166,421,248.91 is: 229,662,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,571,872.94 : 412,031,097.30 = 166,421,248.91 : x
  2. Step 2: Convert to fraction form
    298,571,872.94/412,031,097.30 = 166,421,248.91/x
  3. Step 3: Cross multiply
    298,571,872.94x = 412,031,097.30 × 166,421,248.91
  4. Step 4: Simplify right side
    298,571,872.94x = 68,570,729,803,159,488
  5. Step 5: Solve for x
    x = 68,570,729,803,159,488/298,571,872.94
  6. Step 6: Final answer
    x = 229,662,389.59

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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.