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Finding the Fourth Proportional to 590,978,647.60, 886,467,971.40 and 346,090,634.80

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Solution

The fourth proportional to 590,978,647.60, 886,467,971.40 and 346,090,634.80 is: 519,135,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,978,647.60 : 886,467,971.40 = 346,090,634.80 : x
  2. Step 2: Convert to fraction form
    590,978,647.60/886,467,971.40 = 346,090,634.80/x
  3. Step 3: Cross multiply
    590,978,647.60x = 886,467,971.40 × 346,090,634.80
  4. Step 4: Simplify right side
    590,978,647.60x = 306,798,262,951,694,272
  5. Step 5: Solve for x
    x = 306,798,262,951,694,272/590,978,647.60
  6. Step 6: Final answer
    x = 519,135,952.20

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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.