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Finding the Fourth Proportional to 996,462,000.10, 1,494,693,000.15 and 531,557,413.30

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Solution

The fourth proportional to 996,462,000.10, 1,494,693,000.15 and 531,557,413.30 is: 797,336,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,462,000.10 : 1,494,693,000.15 = 531,557,413.30 : x
  2. Step 2: Convert to fraction form
    996,462,000.10/1,494,693,000.15 = 531,557,413.30/x
  3. Step 3: Cross multiply
    996,462,000.10x = 1,494,693,000.15 × 531,557,413.30
  4. Step 4: Simplify right side
    996,462,000.10x = 794,515,144,837,350,528
  5. Step 5: Solve for x
    x = 794,515,144,837,350,528/996,462,000.10
  6. Step 6: Final answer
    x = 797,336,119.95

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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.