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Finding the Fourth Proportional to 30,535,247,096.40, 45,738,373,390.20 and 30,535,247,096.40

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Solution

The fourth proportional to 30,535,247,096.40, 45,738,373,390.20 and 30,535,247,096.40 is: 45,738,373,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535,247,096.40 : 45,738,373,390.20 = 30,535,247,096.40 : x
  2. Step 2: Convert to fraction form
    30,535,247,096.40/45,738,373,390.20 = 30,535,247,096.40/x
  3. Step 3: Cross multiply
    30,535,247,096.40x = 45,738,373,390.20 × 30,535,247,096.40
  4. Step 4: Simplify right side
    30,535,247,096.40x = 1,396,632,533,257,163,636,736
  5. Step 5: Solve for x
    x = 1,396,632,533,257,163,636,736/30,535,247,096.40
  6. Step 6: Final answer
    x = 45,738,373,390.20

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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.