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Finding the Fourth Proportional to 429,754,246.20, 644,631,369.30 and 429,754,246.20

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Solution

The fourth proportional to 429,754,246.20, 644,631,369.30 and 429,754,246.20 is: 644,631,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,754,246.20 : 644,631,369.30 = 429,754,246.20 : x
  2. Step 2: Convert to fraction form
    429,754,246.20/644,631,369.30 = 429,754,246.20/x
  3. Step 3: Cross multiply
    429,754,246.20x = 644,631,369.30 × 429,754,246.20
  4. Step 4: Simplify right side
    429,754,246.20x = 277,033,068,190,395,296
  5. Step 5: Solve for x
    x = 277,033,068,190,395,296/429,754,246.20
  6. Step 6: Final answer
    x = 644,631,369.30

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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.