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Finding the Fourth Proportional to 429,336,002.60, 644,004,003.90 and 429,336,002.60

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Solution

The fourth proportional to 429,336,002.60, 644,004,003.90 and 429,336,002.60 is: 644,004,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,336,002.60 : 644,004,003.90 = 429,336,002.60 : x
  2. Step 2: Convert to fraction form
    429,336,002.60/644,004,003.90 = 429,336,002.60/x
  3. Step 3: Cross multiply
    429,336,002.60x = 644,004,003.90 × 429,336,002.60
  4. Step 4: Simplify right side
    429,336,002.60x = 276,494,104,692,820,800
  5. Step 5: Solve for x
    x = 276,494,104,692,820,800/429,336,002.60
  6. Step 6: Final answer
    x = 644,004,003.90

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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.