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Finding the Fourth Proportional to 383,302,364.80, 574,978,430.40 and 201,903,836.80

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Solution

The fourth proportional to 383,302,364.80, 574,978,430.40 and 201,903,836.80 is: 302,868,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,302,364.80 : 574,978,430.40 = 201,903,836.80 : x
  2. Step 2: Convert to fraction form
    383,302,364.80/574,978,430.40 = 201,903,836.80/x
  3. Step 3: Cross multiply
    383,302,364.80x = 574,978,430.40 × 201,903,836.80
  4. Step 4: Simplify right side
    383,302,364.80x = 116,090,351,175,001,760
  5. Step 5: Solve for x
    x = 116,090,351,175,001,760/383,302,364.80
  6. Step 6: Final answer
    x = 302,868,862.38

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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.