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Finding the Fourth Proportional to 114,200,766,019.80, 171,301,149,029.70 and 114,200,766,019.80

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Solution

The fourth proportional to 114,200,766,019.80, 171,301,149,029.70 and 114,200,766,019.80 is: 171,301,149,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,200,766,019.80 : 171,301,149,029.70 = 114,200,766,019.80 : x
  2. Step 2: Convert to fraction form
    114,200,766,019.80/171,301,149,029.70 = 114,200,766,019.80/x
  3. Step 3: Cross multiply
    114,200,766,019.80x = 171,301,149,029.70 × 114,200,766,019.80
  4. Step 4: Simplify right side
    114,200,766,019.80x = 19,562,722,439,263,661,588,480
  5. Step 5: Solve for x
    x = 19,562,722,439,263,661,588,480/114,200,766,019.80
  6. Step 6: Final answer
    x = 171,301,149,029.70

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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.