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Finding the Fourth Proportional to 72,765,880,704.45, 109,148,821,056.67 and 72,765,880,704.45

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Solution

The fourth proportional to 72,765,880,704.45, 109,148,821,056.67 and 72,765,880,704.45 is: 109,148,821,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,765,880,704.45 : 109,148,821,056.67 = 72,765,880,704.45 : x
  2. Step 2: Convert to fraction form
    72,765,880,704.45/109,148,821,056.67 = 72,765,880,704.45/x
  3. Step 3: Cross multiply
    72,765,880,704.45x = 109,148,821,056.67 × 72,765,880,704.45
  4. Step 4: Simplify right side
    72,765,880,704.45x = 7,942,310,092,041,009,233,920
  5. Step 5: Solve for x
    x = 7,942,310,092,041,009,233,920/72,765,880,704.45
  6. Step 6: Final answer
    x = 109,148,821,056.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.