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Finding the Fourth Proportional to 397,271,420.40, 595,900,175.40 and 178,767,116.40

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Solution

The fourth proportional to 397,271,420.40, 595,900,175.40 and 178,767,116.40 is: 268,147,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,271,420.40 : 595,900,175.40 = 178,767,116.40 : x
  2. Step 2: Convert to fraction form
    397,271,420.40/595,900,175.40 = 178,767,116.40/x
  3. Step 3: Cross multiply
    397,271,420.40x = 595,900,175.40 × 178,767,116.40
  4. Step 4: Simplify right side
    397,271,420.40x = 106,527,356,018,512,208
  5. Step 5: Solve for x
    x = 106,527,356,018,512,208/397,271,420.40
  6. Step 6: Final answer
    x = 268,147,544.85

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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.