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Finding the Fourth Proportional to 552,101,770.40, 827,449,316.40 and 293,440,906.40

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Solution

The fourth proportional to 552,101,770.40, 827,449,316.40 and 293,440,906.40 is: 439,787,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,101,770.40 : 827,449,316.40 = 293,440,906.40 : x
  2. Step 2: Convert to fraction form
    552,101,770.40/827,449,316.40 = 293,440,906.40/x
  3. Step 3: Cross multiply
    552,101,770.40x = 827,449,316.40 × 293,440,906.40
  4. Step 4: Simplify right side
    552,101,770.40x = 242,807,477,404,476,352
  5. Step 5: Solve for x
    x = 242,807,477,404,476,352/552,101,770.40
  6. Step 6: Final answer
    x = 439,787,536.32

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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.