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Finding the Fourth Proportional to 20,404,224,664.80, 30,557,964,056.40 and 20,404,224,664.80

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Solution

The fourth proportional to 20,404,224,664.80, 30,557,964,056.40 and 20,404,224,664.80 is: 30,557,964,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,404,224,664.80 : 30,557,964,056.40 = 20,404,224,664.80 : x
  2. Step 2: Convert to fraction form
    20,404,224,664.80/30,557,964,056.40 = 20,404,224,664.80/x
  3. Step 3: Cross multiply
    20,404,224,664.80x = 30,557,964,056.40 × 20,404,224,664.80
  4. Step 4: Simplify right side
    20,404,224,664.80x = 623,511,563,905,668,743,168
  5. Step 5: Solve for x
    x = 623,511,563,905,668,743,168/20,404,224,664.80
  6. Step 6: Final answer
    x = 30,557,964,056.40

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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.