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Finding the Fourth Proportional to 590,994,649.76, 815,653,632.48 and 340,093,883.84

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Solution

The fourth proportional to 590,994,649.76, 815,653,632.48 and 340,093,883.84 is: 469,376,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,994,649.76 : 815,653,632.48 = 340,093,883.84 : x
  2. Step 2: Convert to fraction form
    590,994,649.76/815,653,632.48 = 340,093,883.84/x
  3. Step 3: Cross multiply
    590,994,649.76x = 815,653,632.48 × 340,093,883.84
  4. Step 4: Simplify right side
    590,994,649.76x = 277,398,811,738,327,168
  5. Step 5: Solve for x
    x = 277,398,811,738,327,168/590,994,649.76
  6. Step 6: Final answer
    x = 469,376,181.07

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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.