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Finding the Fourth Proportional to 166,992,002.60, 250,488,003.90 and 105,769,999.40

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Solution

The fourth proportional to 166,992,002.60, 250,488,003.90 and 105,769,999.40 is: 158,654,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,992,002.60 : 250,488,003.90 = 105,769,999.40 : x
  2. Step 2: Convert to fraction form
    166,992,002.60/250,488,003.90 = 105,769,999.40/x
  3. Step 3: Cross multiply
    166,992,002.60x = 250,488,003.90 × 105,769,999.40
  4. Step 4: Simplify right side
    166,992,002.60x = 26,494,116,022,210,200
  5. Step 5: Solve for x
    x = 26,494,116,022,210,200/166,992,002.60
  6. Step 6: Final answer
    x = 158,654,999.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.