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Finding the Fourth Proportional to 590,978,646.40, 886,467,969.60 and 284,868,630.40

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Solution

The fourth proportional to 590,978,646.40, 886,467,969.60 and 284,868,630.40 is: 427,302,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,978,646.40 : 886,467,969.60 = 284,868,630.40 : x
  2. Step 2: Convert to fraction form
    590,978,646.40/886,467,969.60 = 284,868,630.40/x
  3. Step 3: Cross multiply
    590,978,646.40x = 886,467,969.60 × 284,868,630.40
  4. Step 4: Simplify right side
    590,978,646.40x = 252,526,916,393,420,832
  5. Step 5: Solve for x
    x = 252,526,916,393,420,832/590,978,646.40
  6. Step 6: Final answer
    x = 427,302,945.60

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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.