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Finding the Fourth Proportional to 20,164,334,674.70, 30,246,502,012.05 and 20,164,334,674.70

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Solution

The fourth proportional to 20,164,334,674.70, 30,246,502,012.05 and 20,164,334,674.70 is: 30,246,502,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164,334,674.70 : 30,246,502,012.05 = 20,164,334,674.70 : x
  2. Step 2: Convert to fraction form
    20,164,334,674.70/30,246,502,012.05 = 20,164,334,674.70/x
  3. Step 3: Cross multiply
    20,164,334,674.70x = 30,246,502,012.05 × 20,164,334,674.70
  4. Step 4: Simplify right side
    20,164,334,674.70x = 609,900,589,309,963,141,120
  5. Step 5: Solve for x
    x = 609,900,589,309,963,141,120/20,164,334,674.70
  6. Step 6: Final answer
    x = 30,246,502,012.05

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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.