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Finding the Fourth Proportional to 679,830,593.64, 1,019,745,834.32 and 188,543,857

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Solution

The fourth proportional to 679,830,593.64, 1,019,745,834.32 and 188,543,857 is: 282,815,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,830,593.64 : 1,019,745,834.32 = 188,543,857 : x
  2. Step 2: Convert to fraction form
    679,830,593.64/1,019,745,834.32 = 188,543,857/x
  3. Step 3: Cross multiply
    679,830,593.64x = 1,019,745,834.32 × 188,543,857
  4. Step 4: Simplify right side
    679,830,593.64x = 192,266,812,762,375,776
  5. Step 5: Solve for x
    x = 192,266,812,762,375,776/679,830,593.64
  6. Step 6: Final answer
    x = 282,815,769.93

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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.