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Finding the Fourth Proportional to 287,789,413.10, 431,684,119.65 and 200,113,457.90

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Solution

The fourth proportional to 287,789,413.10, 431,684,119.65 and 200,113,457.90 is: 300,170,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,789,413.10 : 431,684,119.65 = 200,113,457.90 : x
  2. Step 2: Convert to fraction form
    287,789,413.10/431,684,119.65 = 200,113,457.90/x
  3. Step 3: Cross multiply
    287,789,413.10x = 431,684,119.65 × 200,113,457.90
  4. Step 4: Simplify right side
    287,789,413.10x = 86,385,801,903,678,832
  5. Step 5: Solve for x
    x = 86,385,801,903,678,832/287,789,413.10
  6. Step 6: Final answer
    x = 300,170,186.85

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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.