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Finding the Fourth Proportional to 960,620,622.84, 1,325,657,593.53 and 520,587,474.84

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Solution

The fourth proportional to 960,620,622.84, 1,325,657,593.53 and 520,587,474.84 is: 718,411,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,620,622.84 : 1,325,657,593.53 = 520,587,474.84 : x
  2. Step 2: Convert to fraction form
    960,620,622.84/1,325,657,593.53 = 520,587,474.84/x
  3. Step 3: Cross multiply
    960,620,622.84x = 1,325,657,593.53 × 520,587,474.84
  4. Step 4: Simplify right side
    960,620,622.84x = 690,120,739,118,253,824
  5. Step 5: Solve for x
    x = 690,120,739,118,253,824/960,620,622.84
  6. Step 6: Final answer
    x = 718,411,329.83

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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.