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Finding the Fourth Proportional to 429,752,495.70, 644,628,743.55 and 429,752,495.70

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Solution

The fourth proportional to 429,752,495.70, 644,628,743.55 and 429,752,495.70 is: 644,628,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,752,495.70 : 644,628,743.55 = 429,752,495.70 : x
  2. Step 2: Convert to fraction form
    429,752,495.70/644,628,743.55 = 429,752,495.70/x
  3. Step 3: Cross multiply
    429,752,495.70x = 644,628,743.55 × 429,752,495.70
  4. Step 4: Simplify right side
    429,752,495.70x = 277,030,811,340,567,744
  5. Step 5: Solve for x
    x = 277,030,811,340,567,744/429,752,495.70
  6. Step 6: Final answer
    x = 644,628,743.55

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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.