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Finding the Fourth Proportional to 13,752,075,998.40, 20,628,113,997.60 and 13,752,075,998.40

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Solution

The fourth proportional to 13,752,075,998.40, 20,628,113,997.60 and 13,752,075,998.40 is: 20,628,113,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752,075,998.40 : 20,628,113,997.60 = 13,752,075,998.40 : x
  2. Step 2: Convert to fraction form
    13,752,075,998.40/20,628,113,997.60 = 13,752,075,998.40/x
  3. Step 3: Cross multiply
    13,752,075,998.40x = 20,628,113,997.60 × 13,752,075,998.40
  4. Step 4: Simplify right side
    13,752,075,998.40x = 283,679,391,398,654,017,536
  5. Step 5: Solve for x
    x = 283,679,391,398,654,017,536/13,752,075,998.40
  6. Step 6: Final answer
    x = 20,628,113,997.60

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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.