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Finding the Fourth Proportional to 318,924,042.70, 447,702,983.30 and 318,924,042.70

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Solution

The fourth proportional to 318,924,042.70, 447,702,983.30 and 318,924,042.70 is: 447,702,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,924,042.70 : 447,702,983.30 = 318,924,042.70 : x
  2. Step 2: Convert to fraction form
    318,924,042.70/447,702,983.30 = 318,924,042.70/x
  3. Step 3: Cross multiply
    318,924,042.70x = 447,702,983.30 × 318,924,042.70
  4. Step 4: Simplify right side
    318,924,042.70x = 142,783,245,362,886,592
  5. Step 5: Solve for x
    x = 142,783,245,362,886,592/318,924,042.70
  6. Step 6: Final answer
    x = 447,702,983.30

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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.