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Finding the Fourth Proportional to 30,267,079,076.40, 45,400,618,614.60 and 30,267,079,076.40

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Solution

The fourth proportional to 30,267,079,076.40, 45,400,618,614.60 and 30,267,079,076.40 is: 45,400,618,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267,079,076.40 : 45,400,618,614.60 = 30,267,079,076.40 : x
  2. Step 2: Convert to fraction form
    30,267,079,076.40/45,400,618,614.60 = 30,267,079,076.40/x
  3. Step 3: Cross multiply
    30,267,079,076.40x = 45,400,618,614.60 × 30,267,079,076.40
  4. Step 4: Simplify right side
    30,267,079,076.40x = 1,374,144,113,725,576,052,736
  5. Step 5: Solve for x
    x = 1,374,144,113,725,576,052,736/30,267,079,076.40
  6. Step 6: Final answer
    x = 45,400,618,614.60

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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.