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Finding the Fourth Proportional to 365,986,302,308.26, 548,979,453,462.40 and 365,986,302,308.26

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Solution

The fourth proportional to 365,986,302,308.26, 548,979,453,462.40 and 365,986,302,308.26 is: 548,979,453,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,986,302,308.26 : 548,979,453,462.40 = 365,986,302,308.26 : x
  2. Step 2: Convert to fraction form
    365,986,302,308.26/548,979,453,462.40 = 365,986,302,308.26/x
  3. Step 3: Cross multiply
    365,986,302,308.26x = 548,979,453,462.40 × 365,986,302,308.26
  4. Step 4: Simplify right side
    365,986,302,308.26x = 200,918,960,215,913,308,094,464
  5. Step 5: Solve for x
    x = 200,918,960,215,913,308,094,464/365,986,302,308.26
  6. Step 6: Final answer
    x = 548,979,453,462.40

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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.