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Finding the Fourth Proportional to 707,355,292.25, 976,127,411.30 and 405,990,207.83

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Solution

The fourth proportional to 707,355,292.25, 976,127,411.30 and 405,990,207.83 is: 560,253,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,355,292.25 : 976,127,411.30 = 405,990,207.83 : x
  2. Step 2: Convert to fraction form
    707,355,292.25/976,127,411.30 = 405,990,207.83/x
  3. Step 3: Cross multiply
    707,355,292.25x = 976,127,411.30 × 405,990,207.83
  4. Step 4: Simplify right side
    707,355,292.25x = 396,298,170,575,336,256
  5. Step 5: Solve for x
    x = 396,298,170,575,336,256/707,355,292.25
  6. Step 6: Final answer
    x = 560,253,347.82

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