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Finding the Fourth Proportional to 13,625,571,750.40, 20,438,357,625.60 and 13,625,571,750.40

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Solution

The fourth proportional to 13,625,571,750.40, 20,438,357,625.60 and 13,625,571,750.40 is: 20,438,357,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625,571,750.40 : 20,438,357,625.60 = 13,625,571,750.40 : x
  2. Step 2: Convert to fraction form
    13,625,571,750.40/20,438,357,625.60 = 13,625,571,750.40/x
  3. Step 3: Cross multiply
    13,625,571,750.40x = 20,438,357,625.60 × 13,625,571,750.40
  4. Step 4: Simplify right side
    13,625,571,750.40x = 278,484,308,287,947,735,040
  5. Step 5: Solve for x
    x = 278,484,308,287,947,735,040/13,625,571,750.40
  6. Step 6: Final answer
    x = 20,438,357,625.60

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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.