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Finding the Fourth Proportional to 20,229,201,218.10, 30,343,801,827.15 and 20,229,201,218.10

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Solution

The fourth proportional to 20,229,201,218.10, 30,343,801,827.15 and 20,229,201,218.10 is: 30,343,801,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229,201,218.10 : 30,343,801,827.15 = 20,229,201,218.10 : x
  2. Step 2: Convert to fraction form
    20,229,201,218.10/30,343,801,827.15 = 20,229,201,218.10/x
  3. Step 3: Cross multiply
    20,229,201,218.10x = 30,343,801,827.15 × 20,229,201,218.10
  4. Step 4: Simplify right side
    20,229,201,218.10x = 613,830,872,883,567,788,032
  5. Step 5: Solve for x
    x = 613,830,872,883,567,788,032/20,229,201,218.10
  6. Step 6: Final answer
    x = 30,343,801,827.15

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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.