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Finding the Fourth Proportional to 129,407,496,064.80, 194,111,244,097.20 and 129,407,496,064.80

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Solution

The fourth proportional to 129,407,496,064.80, 194,111,244,097.20 and 129,407,496,064.80 is: 194,111,244,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,407,496,064.80 : 194,111,244,097.20 = 129,407,496,064.80 : x
  2. Step 2: Convert to fraction form
    129,407,496,064.80/194,111,244,097.20 = 129,407,496,064.80/x
  3. Step 3: Cross multiply
    129,407,496,064.80x = 194,111,244,097.20 × 129,407,496,064.80
  4. Step 4: Simplify right side
    129,407,496,064.80x = 25,119,450,056,641,843,560,448
  5. Step 5: Solve for x
    x = 25,119,450,056,641,843,560,448/129,407,496,064.80
  6. Step 6: Final answer
    x = 194,111,244,097.20

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Half scale
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Double scale
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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.