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Finding the Fourth Proportional to 822,274,159.20, 1,135,009,692.72 and 735,104,560.20

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Solution

The fourth proportional to 822,274,159.20, 1,135,009,692.72 and 735,104,560.20 is: 1,014,686,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,274,159.20 : 1,135,009,692.72 = 735,104,560.20 : x
  2. Step 2: Convert to fraction form
    822,274,159.20/1,135,009,692.72 = 735,104,560.20/x
  3. Step 3: Cross multiply
    822,274,159.20x = 1,135,009,692.72 × 735,104,560.20
  4. Step 4: Simplify right side
    822,274,159.20x = 834,350,800,989,672,832
  5. Step 5: Solve for x
    x = 834,350,800,989,672,832/822,274,159.20
  6. Step 6: Final answer
    x = 1,014,686,879.86

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1.5x scale

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.