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Finding the Fourth Proportional to 517,403,651.67, 714,019,939.46 and 294,385,327.89

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Solution

The fourth proportional to 517,403,651.67, 714,019,939.46 and 294,385,327.89 is: 406,253,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,403,651.67 : 714,019,939.46 = 294,385,327.89 : x
  2. Step 2: Convert to fraction form
    517,403,651.67/714,019,939.46 = 294,385,327.89/x
  3. Step 3: Cross multiply
    517,403,651.67x = 714,019,939.46 × 294,385,327.89
  4. Step 4: Simplify right side
    517,403,651.67x = 210,196,993,997,930,048
  5. Step 5: Solve for x
    x = 210,196,993,997,930,048/517,403,651.67
  6. Step 6: Final answer
    x = 406,253,402.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.