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Finding the Fourth Proportional to 471,691,704.60, 707,537,556.90 and 144,166,584.60

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Solution

The fourth proportional to 471,691,704.60, 707,537,556.90 and 144,166,584.60 is: 216,249,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,691,704.60 : 707,537,556.90 = 144,166,584.60 : x
  2. Step 2: Convert to fraction form
    471,691,704.60/707,537,556.90 = 144,166,584.60/x
  3. Step 3: Cross multiply
    471,691,704.60x = 707,537,556.90 × 144,166,584.60
  4. Step 4: Simplify right side
    471,691,704.60x = 102,003,273,054,501,152
  5. Step 5: Solve for x
    x = 102,003,273,054,501,152/471,691,704.60
  6. Step 6: Final answer
    x = 216,249,876.90

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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.