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Finding the Fourth Proportional to 946,699,692.80, 1,306,421,244 and 529,015,409.60

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Solution

The fourth proportional to 946,699,692.80, 1,306,421,244 and 529,015,409.60 is: 730,027,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,699,692.80 : 1,306,421,244 = 529,015,409.60 : x
  2. Step 2: Convert to fraction form
    946,699,692.80/1,306,421,244 = 529,015,409.60/x
  3. Step 3: Cross multiply
    946,699,692.80x = 1,306,421,244 × 529,015,409.60
  4. Step 4: Simplify right side
    946,699,692.80x = 691,116,969,504,801,536
  5. Step 5: Solve for x
    x = 691,116,969,504,801,536/946,699,692.80
  6. Step 6: Final answer
    x = 730,027,668.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.