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Finding the Fourth Proportional to 415,314,518.20, 622,971,777.30 and 415,314,518.20

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Solution

The fourth proportional to 415,314,518.20, 622,971,777.30 and 415,314,518.20 is: 622,971,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,314,518.20 : 622,971,777.30 = 415,314,518.20 : x
  2. Step 2: Convert to fraction form
    415,314,518.20/622,971,777.30 = 415,314,518.20/x
  3. Step 3: Cross multiply
    415,314,518.20x = 622,971,777.30 × 415,314,518.20
  4. Step 4: Simplify right side
    415,314,518.20x = 258,729,223,541,547,168
  5. Step 5: Solve for x
    x = 258,729,223,541,547,168/415,314,518.20
  6. Step 6: Final answer
    x = 622,971,777.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.