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Finding the Fourth Proportional to 97,693,857.20, 146,562,040.20 and 29,534,769.20

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Solution

The fourth proportional to 97,693,857.20, 146,562,040.20 and 29,534,769.20 is: 44,308,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,693,857.20 : 146,562,040.20 = 29,534,769.20 : x
  2. Step 2: Convert to fraction form
    97,693,857.20/146,562,040.20 = 29,534,769.20/x
  3. Step 3: Cross multiply
    97,693,857.20x = 146,562,040.20 × 29,534,769.20
  4. Step 4: Simplify right side
    97,693,857.20x = 4,328,676,030,788,121.50
  5. Step 5: Solve for x
    x = 4,328,676,030,788,121.50/97,693,857.20
  6. Step 6: Final answer
    x = 44,308,579.42

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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.