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Finding the Fourth Proportional to 20,229,193,055.60, 30,343,789,583.40 and 20,229,193,055.60

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Solution

The fourth proportional to 20,229,193,055.60, 30,343,789,583.40 and 20,229,193,055.60 is: 30,343,789,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229,193,055.60 : 30,343,789,583.40 = 20,229,193,055.60 : x
  2. Step 2: Convert to fraction form
    20,229,193,055.60/30,343,789,583.40 = 20,229,193,055.60/x
  3. Step 3: Cross multiply
    20,229,193,055.60x = 30,343,789,583.40 × 20,229,193,055.60
  4. Step 4: Simplify right side
    20,229,193,055.60x = 613,830,377,521,102,848,000
  5. Step 5: Solve for x
    x = 613,830,377,521,102,848,000/20,229,193,055.60
  6. Step 6: Final answer
    x = 30,343,789,583.40

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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.