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Finding the Fourth Proportional to 313,568,658.57, 432,748,987.80 and 188,125,575.33

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Solution

The fourth proportional to 313,568,658.57, 432,748,987.80 and 188,125,575.33 is: 259,627,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,568,658.57 : 432,748,987.80 = 188,125,575.33 : x
  2. Step 2: Convert to fraction form
    313,568,658.57/432,748,987.80 = 188,125,575.33/x
  3. Step 3: Cross multiply
    313,568,658.57x = 432,748,987.80 × 188,125,575.33
  4. Step 4: Simplify right side
    313,568,658.57x = 81,411,152,303,350,160
  5. Step 5: Solve for x
    x = 81,411,152,303,350,160/313,568,658.57
  6. Step 6: Final answer
    x = 259,627,836.13

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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.