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Finding the Fourth Proportional to 110,996,950.35, 166,495,425.53 and 110,996,950.35

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Solution

The fourth proportional to 110,996,950.35, 166,495,425.53 and 110,996,950.35 is: 166,495,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,996,950.35 : 166,495,425.53 = 110,996,950.35 : x
  2. Step 2: Convert to fraction form
    110,996,950.35/166,495,425.53 = 110,996,950.35/x
  3. Step 3: Cross multiply
    110,996,950.35x = 166,495,425.53 × 110,996,950.35
  4. Step 4: Simplify right side
    110,996,950.35x = 18,480,484,480,500,548
  5. Step 5: Solve for x
    x = 18,480,484,480,500,548/110,996,950.35
  6. Step 6: Final answer
    x = 166,495,425.53

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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.