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Finding the Fourth Proportional to 129,848,784,969.70, 194,773,177,454.55 and 129,848,784,969.70

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Solution

The fourth proportional to 129,848,784,969.70, 194,773,177,454.55 and 129,848,784,969.70 is: 194,773,177,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,848,784,969.70 : 194,773,177,454.55 = 129,848,784,969.70 : x
  2. Step 2: Convert to fraction form
    129,848,784,969.70/194,773,177,454.55 = 129,848,784,969.70/x
  3. Step 3: Cross multiply
    129,848,784,969.70x = 194,773,177,454.55 × 129,848,784,969.70
  4. Step 4: Simplify right side
    129,848,784,969.70x = 25,291,060,437,161,080,782,848
  5. Step 5: Solve for x
    x = 25,291,060,437,161,080,782,848/129,848,784,969.70
  6. Step 6: Final answer
    x = 194,773,177,454.55

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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.