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Finding the Fourth Proportional to 722,308,692.60, 996,847,471.71 and 409,098,624.84

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Solution

The fourth proportional to 722,308,692.60, 996,847,471.71 and 409,098,624.84 is: 564,590,920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,308,692.60 : 996,847,471.71 = 409,098,624.84 : x
  2. Step 2: Convert to fraction form
    722,308,692.60/996,847,471.71 = 409,098,624.84/x
  3. Step 3: Cross multiply
    722,308,692.60x = 996,847,471.71 × 409,098,624.84
  4. Step 4: Simplify right side
    722,308,692.60x = 407,808,929,851,791,808
  5. Step 5: Solve for x
    x = 407,808,929,851,791,808/722,308,692.60
  6. Step 6: Final answer
    x = 564,590,920.79

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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.