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Finding the Fourth Proportional to 20,404,224,720.30, 30,557,964,139.65 and 20,404,224,720.30

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Solution

The fourth proportional to 20,404,224,720.30, 30,557,964,139.65 and 20,404,224,720.30 is: 30,557,964,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,404,224,720.30 : 30,557,964,139.65 = 20,404,224,720.30 : x
  2. Step 2: Convert to fraction form
    20,404,224,720.30/30,557,964,139.65 = 20,404,224,720.30/x
  3. Step 3: Cross multiply
    20,404,224,720.30x = 30,557,964,139.65 × 20,404,224,720.30
  4. Step 4: Simplify right side
    20,404,224,720.30x = 623,511,567,300,287,397,888
  5. Step 5: Solve for x
    x = 623,511,567,300,287,397,888/20,404,224,720.30
  6. Step 6: Final answer
    x = 30,557,964,139.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.