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Finding the Fourth Proportional to 415,314,383.20, 622,971,574.80 and 415,314,383.20

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Solution

The fourth proportional to 415,314,383.20, 622,971,574.80 and 415,314,383.20 is: 622,971,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,314,383.20 : 622,971,574.80 = 415,314,383.20 : x
  2. Step 2: Convert to fraction form
    415,314,383.20/622,971,574.80 = 415,314,383.20/x
  3. Step 3: Cross multiply
    415,314,383.20x = 622,971,574.80 × 415,314,383.20
  4. Step 4: Simplify right side
    415,314,383.20x = 258,729,055,339,194,624
  5. Step 5: Solve for x
    x = 258,729,055,339,194,624/415,314,383.20
  6. Step 6: Final answer
    x = 622,971,574.80

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1.5x scale

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.