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Finding the Fourth Proportional to 1,978,019,770.80, 2,967,029,656.20 and 504,156,730.80

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Solution

The fourth proportional to 1,978,019,770.80, 2,967,029,656.20 and 504,156,730.80 is: 756,235,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978,019,770.80 : 2,967,029,656.20 = 504,156,730.80 : x
  2. Step 2: Convert to fraction form
    1,978,019,770.80/2,967,029,656.20 = 504,156,730.80/x
  3. Step 3: Cross multiply
    1,978,019,770.80x = 2,967,029,656.20 × 504,156,730.80
  4. Step 4: Simplify right side
    1,978,019,770.80x = 1,495,847,971,656,439,808
  5. Step 5: Solve for x
    x = 1,495,847,971,656,439,808/1,978,019,770.80
  6. Step 6: Final answer
    x = 756,235,096.20

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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.