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Finding the Fourth Proportional to 76,133,843,999.70, 114,200,765,999.55 and 76,133,843,999.70

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Solution

The fourth proportional to 76,133,843,999.70, 114,200,765,999.55 and 76,133,843,999.70 is: 114,200,765,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,133,843,999.70 : 114,200,765,999.55 = 76,133,843,999.70 : x
  2. Step 2: Convert to fraction form
    76,133,843,999.70/114,200,765,999.55 = 76,133,843,999.70/x
  3. Step 3: Cross multiply
    76,133,843,999.70x = 114,200,765,999.55 × 76,133,843,999.70
  4. Step 4: Simplify right side
    76,133,843,999.70x = 8,694,543,303,255,983,652,864
  5. Step 5: Solve for x
    x = 8,694,543,303,255,983,652,864/76,133,843,999.70
  6. Step 6: Final answer
    x = 114,200,765,999.55

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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.