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Finding the Fourth Proportional to 110,996,936.90, 166,495,405.35 and 110,996,936.90

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Solution

The fourth proportional to 110,996,936.90, 166,495,405.35 and 110,996,936.90 is: 166,495,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,996,936.90 : 166,495,405.35 = 110,996,936.90 : x
  2. Step 2: Convert to fraction form
    110,996,936.90/166,495,405.35 = 110,996,936.90/x
  3. Step 3: Cross multiply
    110,996,936.90x = 166,495,405.35 × 110,996,936.90
  4. Step 4: Simplify right side
    110,996,936.90x = 18,480,480,001,773,872
  5. Step 5: Solve for x
    x = 18,480,480,001,773,872/110,996,936.90
  6. Step 6: Final answer
    x = 166,495,405.35

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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.