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Finding the Fourth Proportional to 13,398,049,363.05, 20,097,074,044.58 and 13,398,049,363.05

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Solution

The fourth proportional to 13,398,049,363.05, 20,097,074,044.58 and 13,398,049,363.05 is: 20,097,074,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398,049,363.05 : 20,097,074,044.58 = 13,398,049,363.05 : x
  2. Step 2: Convert to fraction form
    13,398,049,363.05/20,097,074,044.58 = 13,398,049,363.05/x
  3. Step 3: Cross multiply
    13,398,049,363.05x = 20,097,074,044.58 × 13,398,049,363.05
  4. Step 4: Simplify right side
    13,398,049,363.05x = 269,261,590,102,086,746,112
  5. Step 5: Solve for x
    x = 269,261,590,102,086,746,112/13,398,049,363.05
  6. Step 6: Final answer
    x = 20,097,074,044.58

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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.