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Finding the Fourth Proportional to 707,355,293.75, 976,127,413.37 and 405,990,209.33

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Solution

The fourth proportional to 707,355,293.75, 976,127,413.37 and 405,990,209.33 is: 560,253,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,355,293.75 : 976,127,413.37 = 405,990,209.33 : x
  2. Step 2: Convert to fraction form
    707,355,293.75/976,127,413.37 = 405,990,209.33/x
  3. Step 3: Cross multiply
    707,355,293.75x = 976,127,413.37 × 405,990,209.33
  4. Step 4: Simplify right side
    707,355,293.75x = 396,298,172,879,927,168
  5. Step 5: Solve for x
    x = 396,298,172,879,927,168/707,355,293.75
  6. Step 6: Final answer
    x = 560,253,349.89

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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.