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Finding the Fourth Proportional to 442,597,505.40, 620,543,500.20 and 442,597,505.40

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Solution

The fourth proportional to 442,597,505.40, 620,543,500.20 and 442,597,505.40 is: 620,543,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,597,505.40 : 620,543,500.20 = 442,597,505.40 : x
  2. Step 2: Convert to fraction form
    442,597,505.40/620,543,500.20 = 442,597,505.40/x
  3. Step 3: Cross multiply
    442,597,505.40x = 620,543,500.20 × 442,597,505.40
  4. Step 4: Simplify right side
    442,597,505.40x = 274,651,005,180,704,416
  5. Step 5: Solve for x
    x = 274,651,005,180,704,416/442,597,505.40
  6. Step 6: Final answer
    x = 620,543,500.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.