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Finding the Fourth Proportional to 419,325,653.80, 628,982,575.80 and 189,294,369.40

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Solution

The fourth proportional to 419,325,653.80, 628,982,575.80 and 189,294,369.40 is: 283,938,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,325,653.80 : 628,982,575.80 = 189,294,369.40 : x
  2. Step 2: Convert to fraction form
    419,325,653.80/628,982,575.80 = 189,294,369.40/x
  3. Step 3: Cross multiply
    419,325,653.80x = 628,982,575.80 × 189,294,369.40
  4. Step 4: Simplify right side
    419,325,653.80x = 119,062,860,049,648,688
  5. Step 5: Solve for x
    x = 119,062,860,049,648,688/419,325,653.80
  6. Step 6: Final answer
    x = 283,938,888.48

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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.