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Finding the Fourth Proportional to 978,777,744.60, 1,468,166,616.90 and 941,154,346.20

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Solution

The fourth proportional to 978,777,744.60, 1,468,166,616.90 and 941,154,346.20 is: 1,411,731,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,777,744.60 : 1,468,166,616.90 = 941,154,346.20 : x
  2. Step 2: Convert to fraction form
    978,777,744.60/1,468,166,616.90 = 941,154,346.20/x
  3. Step 3: Cross multiply
    978,777,744.60x = 1,468,166,616.90 × 941,154,346.20
  4. Step 4: Simplify right side
    978,777,744.60x = 1,381,771,392,441,185,536
  5. Step 5: Solve for x
    x = 1,381,771,392,441,185,536/978,777,744.60
  6. Step 6: Final answer
    x = 1,411,731,519.30

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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.