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Finding the Fourth Proportional to 13,798,682,718.40, 20,698,024,077.60 and 13,798,682,718.40

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Solution

The fourth proportional to 13,798,682,718.40, 20,698,024,077.60 and 13,798,682,718.40 is: 20,698,024,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798,682,718.40 : 20,698,024,077.60 = 13,798,682,718.40 : x
  2. Step 2: Convert to fraction form
    13,798,682,718.40/20,698,024,077.60 = 13,798,682,718.40/x
  3. Step 3: Cross multiply
    13,798,682,718.40x = 20,698,024,077.60 × 13,798,682,718.40
  4. Step 4: Simplify right side
    13,798,682,718.40x = 285,605,467,144,606,187,520
  5. Step 5: Solve for x
    x = 285,605,467,144,606,187,520/13,798,682,718.40
  6. Step 6: Final answer
    x = 20,698,024,077.60

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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.