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Finding the Fourth Proportional to 429,753,200.70, 644,629,801.05 and 429,753,200.70

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Solution

The fourth proportional to 429,753,200.70, 644,629,801.05 and 429,753,200.70 is: 644,629,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,753,200.70 : 644,629,801.05 = 429,753,200.70 : x
  2. Step 2: Convert to fraction form
    429,753,200.70/644,629,801.05 = 429,753,200.70/x
  3. Step 3: Cross multiply
    429,753,200.70x = 644,629,801.05 × 429,753,200.70
  4. Step 4: Simplify right side
    429,753,200.70x = 277,031,720,267,841,696
  5. Step 5: Solve for x
    x = 277,031,720,267,841,696/429,753,200.70
  6. Step 6: Final answer
    x = 644,629,801.05

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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.