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Finding the Fourth Proportional to 298,296,966.03, 411,662,646.60 and 166,138,021.32

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Solution

The fourth proportional to 298,296,966.03, 411,662,646.60 and 166,138,021.32 is: 229,277,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,296,966.03 : 411,662,646.60 = 166,138,021.32 : x
  2. Step 2: Convert to fraction form
    298,296,966.03/411,662,646.60 = 166,138,021.32/x
  3. Step 3: Cross multiply
    298,296,966.03x = 411,662,646.60 × 166,138,021.32
  4. Step 4: Simplify right side
    298,296,966.03x = 68,392,817,555,311,672
  5. Step 5: Solve for x
    x = 68,392,817,555,311,672/298,296,966.03
  6. Step 6: Final answer
    x = 229,277,617.09

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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.