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Finding the Fourth Proportional to 21,275,146,514.60, 31,912,719,771.90 and 21,275,146,514.60

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Solution

The fourth proportional to 21,275,146,514.60, 31,912,719,771.90 and 21,275,146,514.60 is: 31,912,719,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,275,146,514.60 : 31,912,719,771.90 = 21,275,146,514.60 : x
  2. Step 2: Convert to fraction form
    21,275,146,514.60/31,912,719,771.90 = 21,275,146,514.60/x
  3. Step 3: Cross multiply
    21,275,146,514.60x = 31,912,719,771.90 × 21,275,146,514.60
  4. Step 4: Simplify right side
    21,275,146,514.60x = 678,947,788,826,544,832,512
  5. Step 5: Solve for x
    x = 678,947,788,826,544,832,512/21,275,146,514.60
  6. Step 6: Final answer
    x = 31,912,719,771.90

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Double scale
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Similar ratio
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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.