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Finding the Fourth Proportional to 230,984,481.66, 346,476,722.49 and 77,630,538.30

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Solution

The fourth proportional to 230,984,481.66, 346,476,722.49 and 77,630,538.30 is: 116,445,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,984,481.66 : 346,476,722.49 = 77,630,538.30 : x
  2. Step 2: Convert to fraction form
    230,984,481.66/346,476,722.49 = 77,630,538.30/x
  3. Step 3: Cross multiply
    230,984,481.66x = 346,476,722.49 × 77,630,538.30
  4. Step 4: Simplify right side
    230,984,481.66x = 26,897,174,475,318,416
  5. Step 5: Solve for x
    x = 26,897,174,475,318,416/230,984,481.66
  6. Step 6: Final answer
    x = 116,445,807.45

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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.