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Finding the Fourth Proportional to 513,743,692.88, 708,966,754.44 and 278,794,355.60

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Solution

The fourth proportional to 513,743,692.88, 708,966,754.44 and 278,794,355.60 is: 384,736,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,743,692.88 : 708,966,754.44 = 278,794,355.60 : x
  2. Step 2: Convert to fraction form
    513,743,692.88/708,966,754.44 = 278,794,355.60/x
  3. Step 3: Cross multiply
    513,743,692.88x = 708,966,754.44 × 278,794,355.60
  4. Step 4: Simplify right side
    513,743,692.88x = 197,655,929,445,923,264
  5. Step 5: Solve for x
    x = 197,655,929,445,923,264/513,743,692.88
  6. Step 6: Final answer
    x = 384,736,459.42

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