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Finding the Fourth Proportional to 129,385,642,500.45, 194,078,463,750.67 and 129,385,642,500.45

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Solution

The fourth proportional to 129,385,642,500.45, 194,078,463,750.67 and 129,385,642,500.45 is: 194,078,463,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,385,642,500.45 : 194,078,463,750.67 = 129,385,642,500.45 : x
  2. Step 2: Convert to fraction form
    129,385,642,500.45/194,078,463,750.67 = 129,385,642,500.45/x
  3. Step 3: Cross multiply
    129,385,642,500.45x = 194,078,463,750.67 × 129,385,642,500.45
  4. Step 4: Simplify right side
    129,385,642,500.45x = 25,110,966,727,880,734,670,848
  5. Step 5: Solve for x
    x = 25,110,966,727,880,734,670,848/129,385,642,500.45
  6. Step 6: Final answer
    x = 194,078,463,750.67

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1.5x scale

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.