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Finding the Fourth Proportional to 454,297,410.38, 627,447,567.12 and 305,359,956.81

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Solution

The fourth proportional to 454,297,410.38, 627,447,567.12 and 305,359,956.81 is: 421,744,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,297,410.38 : 627,447,567.12 = 305,359,956.81 : x
  2. Step 2: Convert to fraction form
    454,297,410.38/627,447,567.12 = 305,359,956.81/x
  3. Step 3: Cross multiply
    454,297,410.38x = 627,447,567.12 × 305,359,956.81
  4. Step 4: Simplify right side
    454,297,410.38x = 191,597,361,996,302,784
  5. Step 5: Solve for x
    x = 191,597,361,996,302,784/454,297,410.38
  6. Step 6: Final answer
    x = 421,744,341.09

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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.