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Finding the Fourth Proportional to 401,060,808,834.72, 601,591,213,252.10 and 401,060,808,834.72

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Solution

The fourth proportional to 401,060,808,834.72, 601,591,213,252.10 and 401,060,808,834.72 is: 601,591,213,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,060,808,834.72 : 601,591,213,252.10 = 401,060,808,834.72 : x
  2. Step 2: Convert to fraction form
    401,060,808,834.72/601,591,213,252.10 = 401,060,808,834.72/x
  3. Step 3: Cross multiply
    401,060,808,834.72x = 601,591,213,252.10 × 401,060,808,834.72
  4. Step 4: Simplify right side
    401,060,808,834.72x = 241,274,658,574,747,727,560,704
  5. Step 5: Solve for x
    x = 241,274,658,574,747,727,560,704/401,060,808,834.72
  6. Step 6: Final answer
    x = 601,591,213,252.10

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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.