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Finding the Fourth Proportional to 9,099,681,382.40, 13,649,522,073.60 and 9,099,681,382.40

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Solution

The fourth proportional to 9,099,681,382.40, 13,649,522,073.60 and 9,099,681,382.40 is: 13,649,522,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099,681,382.40 : 13,649,522,073.60 = 9,099,681,382.40 : x
  2. Step 2: Convert to fraction form
    9,099,681,382.40/13,649,522,073.60 = 9,099,681,382.40/x
  3. Step 3: Cross multiply
    9,099,681,382.40x = 13,649,522,073.60 × 9,099,681,382.40
  4. Step 4: Simplify right side
    9,099,681,382.40x = 124,206,301,891,795,763,200
  5. Step 5: Solve for x
    x = 124,206,301,891,795,763,200/9,099,681,382.40
  6. Step 6: Final answer
    x = 13,649,522,073.60

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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.