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Finding the Fourth Proportional to 5,167,152,024.20, 7,750,728,036.30 and 5,167,152,024.20

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Solution

The fourth proportional to 5,167,152,024.20, 7,750,728,036.30 and 5,167,152,024.20 is: 7,750,728,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167,152,024.20 : 7,750,728,036.30 = 5,167,152,024.20 : x
  2. Step 2: Convert to fraction form
    5,167,152,024.20/7,750,728,036.30 = 5,167,152,024.20/x
  3. Step 3: Cross multiply
    5,167,152,024.20x = 7,750,728,036.30 × 5,167,152,024.20
  4. Step 4: Simplify right side
    5,167,152,024.20x = 40,049,190,061,791,232,000
  5. Step 5: Solve for x
    x = 40,049,190,061,791,232,000/5,167,152,024.20
  6. Step 6: Final answer
    x = 7,750,728,036.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.