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Finding the Fourth Proportional to 415,314,378.45, 622,971,567.68 and 415,314,378.45

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Solution

The fourth proportional to 415,314,378.45, 622,971,567.68 and 415,314,378.45 is: 622,971,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,314,378.45 : 622,971,567.68 = 415,314,378.45 : x
  2. Step 2: Convert to fraction form
    415,314,378.45/622,971,567.68 = 415,314,378.45/x
  3. Step 3: Cross multiply
    415,314,378.45x = 622,971,567.68 × 415,314,378.45
  4. Step 4: Simplify right side
    415,314,378.45x = 258,729,049,420,964,704
  5. Step 5: Solve for x
    x = 258,729,049,420,964,704/415,314,378.45
  6. Step 6: Final answer
    x = 622,971,567.68

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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.