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Finding the Fourth Proportional to 27,807,652.20, 41,711,478.30 and 27,807,652.20

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Solution

The fourth proportional to 27,807,652.20, 41,711,478.30 and 27,807,652.20 is: 41,711,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807,652.20 : 41,711,478.30 = 27,807,652.20 : x
  2. Step 2: Convert to fraction form
    27,807,652.20/41,711,478.30 = 27,807,652.20/x
  3. Step 3: Cross multiply
    27,807,652.20x = 41,711,478.30 × 27,807,652.20
  4. Step 4: Simplify right side
    27,807,652.20x = 1,159,898,281,314,247.25
  5. Step 5: Solve for x
    x = 1,159,898,281,314,247.25/27,807,652.20
  6. Step 6: Final answer
    x = 41,711,478.30

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