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Finding the Fourth Proportional to 298,296,966.34, 411,662,647.03 and 166,138,021.63

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Solution

The fourth proportional to 298,296,966.34, 411,662,647.03 and 166,138,021.63 is: 229,277,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,296,966.34 : 411,662,647.03 = 166,138,021.63 : x
  2. Step 2: Convert to fraction form
    298,296,966.34/411,662,647.03 = 166,138,021.63/x
  3. Step 3: Cross multiply
    298,296,966.34x = 411,662,647.03 × 166,138,021.63
  4. Step 4: Simplify right side
    298,296,966.34x = 68,392,817,756,533,192
  5. Step 5: Solve for x
    x = 68,392,817,756,533,192/298,296,966.34
  6. Step 6: Final answer
    x = 229,277,617.52

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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.