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Finding the Fourth Proportional to 13,441,356,084.40, 20,123,292,077.67 and 13,441,356,084.40

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Solution

The fourth proportional to 13,441,356,084.40, 20,123,292,077.67 and 13,441,356,084.40 is: 20,123,292,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441,356,084.40 : 20,123,292,077.67 = 13,441,356,084.40 : x
  2. Step 2: Convert to fraction form
    13,441,356,084.40/20,123,292,077.67 = 13,441,356,084.40/x
  3. Step 3: Cross multiply
    13,441,356,084.40x = 20,123,292,077.67 × 13,441,356,084.40
  4. Step 4: Simplify right side
    13,441,356,084.40x = 270,484,334,406,347,948,032
  5. Step 5: Solve for x
    x = 270,484,334,406,347,948,032/13,441,356,084.40
  6. Step 6: Final answer
    x = 20,123,292,077.67

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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.