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Finding the Fourth Proportional to 129,409,763,074.80, 193,824,406,967.40 and 129,409,763,074.80

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Solution

The fourth proportional to 129,409,763,074.80, 193,824,406,967.40 and 129,409,763,074.80 is: 193,824,406,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,409,763,074.80 : 193,824,406,967.40 = 129,409,763,074.80 : x
  2. Step 2: Convert to fraction form
    129,409,763,074.80/193,824,406,967.40 = 129,409,763,074.80/x
  3. Step 3: Cross multiply
    129,409,763,074.80x = 193,824,406,967.40 × 129,409,763,074.80
  4. Step 4: Simplify right side
    129,409,763,074.80x = 25,082,770,583,764,846,247,936
  5. Step 5: Solve for x
    x = 25,082,770,583,764,846,247,936/129,409,763,074.80
  6. Step 6: Final answer
    x = 193,824,406,967.40

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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.