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Finding the Fourth Proportional to 20,404,224,718.80, 30,557,964,137.40 and 20,404,224,718.80

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Solution

The fourth proportional to 20,404,224,718.80, 30,557,964,137.40 and 20,404,224,718.80 is: 30,557,964,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,404,224,718.80 : 30,557,964,137.40 = 20,404,224,718.80 : x
  2. Step 2: Convert to fraction form
    20,404,224,718.80/30,557,964,137.40 = 20,404,224,718.80/x
  3. Step 3: Cross multiply
    20,404,224,718.80x = 30,557,964,137.40 × 20,404,224,718.80
  4. Step 4: Simplify right side
    20,404,224,718.80x = 623,511,567,208,541,061,120
  5. Step 5: Solve for x
    x = 623,511,567,208,541,061,120/20,404,224,718.80
  6. Step 6: Final answer
    x = 30,557,964,137.40

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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.