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Finding the Fourth Proportional to 214,367,232,023.10, 321,550,848,034.65 and 214,367,232,023.10

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Solution

The fourth proportional to 214,367,232,023.10, 321,550,848,034.65 and 214,367,232,023.10 is: 321,550,848,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,367,232,023.10 : 321,550,848,034.65 = 214,367,232,023.10 : x
  2. Step 2: Convert to fraction form
    214,367,232,023.10/321,550,848,034.65 = 214,367,232,023.10/x
  3. Step 3: Cross multiply
    214,367,232,023.10x = 321,550,848,034.65 × 214,367,232,023.10
  4. Step 4: Simplify right side
    214,367,232,023.10x = 68,929,965,247,868,390,342,656
  5. Step 5: Solve for x
    x = 68,929,965,247,868,390,342,656/214,367,232,023.10
  6. Step 6: Final answer
    x = 321,550,848,034.65

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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.