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Finding the Fourth Proportional to 13,998,636,004.70, 20,997,954,007.05 and 13,998,636,004.70

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Solution

The fourth proportional to 13,998,636,004.70, 20,997,954,007.05 and 13,998,636,004.70 is: 20,997,954,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998,636,004.70 : 20,997,954,007.05 = 13,998,636,004.70 : x
  2. Step 2: Convert to fraction form
    13,998,636,004.70/20,997,954,007.05 = 13,998,636,004.70/x
  3. Step 3: Cross multiply
    13,998,636,004.70x = 20,997,954,007.05 × 13,998,636,004.70
  4. Step 4: Simplify right side
    13,998,636,004.70x = 293,942,714,988,124,766,208
  5. Step 5: Solve for x
    x = 293,942,714,988,124,766,208/13,998,636,004.70
  6. Step 6: Final answer
    x = 20,997,954,007.05

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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.