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Finding the Fourth Proportional to 33,028,089,230.40, 49,542,133,845.60 and 33,028,089,230.40

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Solution

The fourth proportional to 33,028,089,230.40, 49,542,133,845.60 and 33,028,089,230.40 is: 49,542,133,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,028,089,230.40 : 49,542,133,845.60 = 33,028,089,230.40 : x
  2. Step 2: Convert to fraction form
    33,028,089,230.40/49,542,133,845.60 = 33,028,089,230.40/x
  3. Step 3: Cross multiply
    33,028,089,230.40x = 49,542,133,845.60 × 33,028,089,230.40
  4. Step 4: Simplify right side
    33,028,089,230.40x = 1,636,282,017,316,896,768,000
  5. Step 5: Solve for x
    x = 1,636,282,017,316,896,768,000/33,028,089,230.40
  6. Step 6: Final answer
    x = 49,542,133,845.60

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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.