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Finding the Fourth Proportional to 153,876,226,418.40, 230,814,339,627.60 and 153,876,226,418.40

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Solution

The fourth proportional to 153,876,226,418.40, 230,814,339,627.60 and 153,876,226,418.40 is: 230,814,339,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,876,226,418.40 : 230,814,339,627.60 = 153,876,226,418.40 : x
  2. Step 2: Convert to fraction form
    153,876,226,418.40/230,814,339,627.60 = 153,876,226,418.40/x
  3. Step 3: Cross multiply
    153,876,226,418.40x = 230,814,339,627.60 × 153,876,226,418.40
  4. Step 4: Simplify right side
    153,876,226,418.40x = 35,516,839,585,150,052,335,616
  5. Step 5: Solve for x
    x = 35,516,839,585,150,052,335,616/153,876,226,418.40
  6. Step 6: Final answer
    x = 230,814,339,627.60

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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.