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Finding the Fourth Proportional to 6,683,478,186.20, 10,025,217,279.30 and 6,683,478,186.20

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Solution

The fourth proportional to 6,683,478,186.20, 10,025,217,279.30 and 6,683,478,186.20 is: 10,025,217,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683,478,186.20 : 10,025,217,279.30 = 6,683,478,186.20 : x
  2. Step 2: Convert to fraction form
    6,683,478,186.20/10,025,217,279.30 = 6,683,478,186.20/x
  3. Step 3: Cross multiply
    6,683,478,186.20x = 10,025,217,279.30 × 6,683,478,186.20
  4. Step 4: Simplify right side
    6,683,478,186.20x = 67,003,320,998,116,851,712
  5. Step 5: Solve for x
    x = 67,003,320,998,116,851,712/6,683,478,186.20
  6. Step 6: Final answer
    x = 10,025,217,279.30

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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.