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Finding the Fourth Proportional to 298,572,460.90, 412,031,907.24 and 166,421,834.98

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Solution

The fourth proportional to 298,572,460.90, 412,031,907.24 and 166,421,834.98 is: 229,663,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,572,460.90 : 412,031,907.24 = 166,421,834.98 : x
  2. Step 2: Convert to fraction form
    298,572,460.90/412,031,907.24 = 166,421,834.98/x
  3. Step 3: Cross multiply
    298,572,460.90x = 412,031,907.24 × 166,421,834.98
  4. Step 4: Simplify right side
    298,572,460.90x = 68,571,106,073,189,944
  5. Step 5: Solve for x
    x = 68,571,106,073,189,944/298,572,460.90
  6. Step 6: Final answer
    x = 229,663,197.56

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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.