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Finding the Fourth Proportional to 19,315,905.70, 27,082,081.10 and 19,315,905.70

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Solution

The fourth proportional to 19,315,905.70, 27,082,081.10 and 19,315,905.70 is: 27,082,081.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,315,905.70 : 27,082,081.10 = 19,315,905.70 : x
  2. Step 2: Convert to fraction form
    19,315,905.70/27,082,081.10 = 19,315,905.70/x
  3. Step 3: Cross multiply
    19,315,905.70x = 27,082,081.10 × 19,315,905.70
  4. Step 4: Simplify right side
    19,315,905.70x = 523,114,924,687,352.25
  5. Step 5: Solve for x
    x = 523,114,924,687,352.25/19,315,905.70
  6. Step 6: Final answer
    x = 27,082,081.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.