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Finding the Fourth Proportional to 318,905,683.80, 446,770,288.20 and 318,905,683.80

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Solution

The fourth proportional to 318,905,683.80, 446,770,288.20 and 318,905,683.80 is: 446,770,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,905,683.80 : 446,770,288.20 = 318,905,683.80 : x
  2. Step 2: Convert to fraction form
    318,905,683.80/446,770,288.20 = 318,905,683.80/x
  3. Step 3: Cross multiply
    318,905,683.80x = 446,770,288.20 × 318,905,683.80
  4. Step 4: Simplify right side
    318,905,683.80x = 142,477,584,259,944,080
  5. Step 5: Solve for x
    x = 142,477,584,259,944,080/318,905,683.80
  6. Step 6: Final answer
    x = 446,770,288.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.