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Finding the Fourth Proportional to 20,628,162,021.60, 30,942,243,032.40 and 20,628,162,021.60

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Solution

The fourth proportional to 20,628,162,021.60, 30,942,243,032.40 and 20,628,162,021.60 is: 30,942,243,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,628,162,021.60 : 30,942,243,032.40 = 20,628,162,021.60 : x
  2. Step 2: Convert to fraction form
    20,628,162,021.60/30,942,243,032.40 = 20,628,162,021.60/x
  3. Step 3: Cross multiply
    20,628,162,021.60x = 30,942,243,032.40 × 20,628,162,021.60
  4. Step 4: Simplify right side
    20,628,162,021.60x = 638,281,602,584,070,848,512
  5. Step 5: Solve for x
    x = 638,281,602,584,070,848,512/20,628,162,021.60
  6. Step 6: Final answer
    x = 30,942,243,032.40

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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.