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Finding the Fourth Proportional to 268,033,728.20, 402,050,592.30 and 268,033,728.20

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Solution

The fourth proportional to 268,033,728.20, 402,050,592.30 and 268,033,728.20 is: 402,050,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,033,728.20 : 402,050,592.30 = 268,033,728.20 : x
  2. Step 2: Convert to fraction form
    268,033,728.20/402,050,592.30 = 268,033,728.20/x
  3. Step 3: Cross multiply
    268,033,728.20x = 402,050,592.30 × 268,033,728.20
  4. Step 4: Simplify right side
    268,033,728.20x = 107,763,119,179,187,216
  5. Step 5: Solve for x
    x = 107,763,119,179,187,216/268,033,728.20
  6. Step 6: Final answer
    x = 402,050,592.30

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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.