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Finding the Fourth Proportional to 545,110,232.20, 817,665,348.30 and 545,110,232.20

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Solution

The fourth proportional to 545,110,232.20, 817,665,348.30 and 545,110,232.20 is: 817,665,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,110,232.20 : 817,665,348.30 = 545,110,232.20 : x
  2. Step 2: Convert to fraction form
    545,110,232.20/817,665,348.30 = 545,110,232.20/x
  3. Step 3: Cross multiply
    545,110,232.20x = 817,665,348.30 × 545,110,232.20
  4. Step 4: Simplify right side
    545,110,232.20x = 445,717,747,873,706,880
  5. Step 5: Solve for x
    x = 445,717,747,873,706,880/545,110,232.20
  6. Step 6: Final answer
    x = 817,665,348.30

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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.