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Finding the Fourth Proportional to 365,986,302,523.40, 548,979,453,785.10 and 365,986,302,523.40

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Solution

The fourth proportional to 365,986,302,523.40, 548,979,453,785.10 and 365,986,302,523.40 is: 548,979,453,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,986,302,523.40 : 548,979,453,785.10 = 365,986,302,523.40 : x
  2. Step 2: Convert to fraction form
    365,986,302,523.40/548,979,453,785.10 = 365,986,302,523.40/x
  3. Step 3: Cross multiply
    365,986,302,523.40x = 548,979,453,785.10 × 365,986,302,523.40
  4. Step 4: Simplify right side
    365,986,302,523.40x = 200,918,960,452,124,496,887,808
  5. Step 5: Solve for x
    x = 200,918,960,452,124,496,887,808/365,986,302,523.40
  6. Step 6: Final answer
    x = 548,979,453,785.10

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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.