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Finding the Fourth Proportional to 829,677,200.55, 1,244,515,800.83 and 829,677,200.55

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Solution

The fourth proportional to 829,677,200.55, 1,244,515,800.83 and 829,677,200.55 is: 1,244,515,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,677,200.55 : 1,244,515,800.83 = 829,677,200.55 : x
  2. Step 2: Convert to fraction form
    829,677,200.55/1,244,515,800.83 = 829,677,200.55/x
  3. Step 3: Cross multiply
    829,677,200.55x = 1,244,515,800.83 × 829,677,200.55
  4. Step 4: Simplify right side
    829,677,200.55x = 1,032,546,385,668,727,424
  5. Step 5: Solve for x
    x = 1,032,546,385,668,727,424/829,677,200.55
  6. Step 6: Final answer
    x = 1,244,515,800.83

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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.