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Finding the Fourth Proportional to 551,427,794.80, 827,141,692.20 and 509,337,667.60

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Solution

The fourth proportional to 551,427,794.80, 827,141,692.20 and 509,337,667.60 is: 764,006,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,427,794.80 : 827,141,692.20 = 509,337,667.60 : x
  2. Step 2: Convert to fraction form
    551,427,794.80/827,141,692.20 = 509,337,667.60/x
  3. Step 3: Cross multiply
    551,427,794.80x = 827,141,692.20 × 509,337,667.60
  4. Step 4: Simplify right side
    551,427,794.80x = 421,294,420,279,865,152
  5. Step 5: Solve for x
    x = 421,294,420,279,865,152/551,427,794.80
  6. Step 6: Final answer
    x = 764,006,501.40

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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.