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Finding the Fourth Proportional to 31,411,238.40, 47,116,857.60 and 31,411,238.40

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Solution

The fourth proportional to 31,411,238.40, 47,116,857.60 and 31,411,238.40 is: 47,116,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411,238.40 : 47,116,857.60 = 31,411,238.40 : x
  2. Step 2: Convert to fraction form
    31,411,238.40/47,116,857.60 = 31,411,238.40/x
  3. Step 3: Cross multiply
    31,411,238.40x = 47,116,857.60 × 31,411,238.40
  4. Step 4: Simplify right side
    31,411,238.40x = 1,479,998,846,732,451.75
  5. Step 5: Solve for x
    x = 1,479,998,846,732,451.75/31,411,238.40
  6. Step 6: Final answer
    x = 47,116,857.60

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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.