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Finding the Fourth Proportional to 216,215,567,999.70, 324,323,351,999.55 and 216,215,567,999.70

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Solution

The fourth proportional to 216,215,567,999.70, 324,323,351,999.55 and 216,215,567,999.70 is: 324,323,351,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,215,567,999.70 : 324,323,351,999.55 = 216,215,567,999.70 : x
  2. Step 2: Convert to fraction form
    216,215,567,999.70/324,323,351,999.55 = 216,215,567,999.70/x
  3. Step 3: Cross multiply
    216,215,567,999.70x = 324,323,351,999.55 × 216,215,567,999.70
  4. Step 4: Simplify right side
    216,215,567,999.70x = 70,123,757,768,149,343,141,888
  5. Step 5: Solve for x
    x = 70,123,757,768,149,343,141,888/216,215,567,999.70
  6. Step 6: Final answer
    x = 324,323,351,999.55

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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.