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Finding the Fourth Proportional to 230,054,903,999.20, 345,082,355,998.80 and 230,054,903,999.20

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Solution

The fourth proportional to 230,054,903,999.20, 345,082,355,998.80 and 230,054,903,999.20 is: 345,082,355,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,054,903,999.20 : 345,082,355,998.80 = 230,054,903,999.20 : x
  2. Step 2: Convert to fraction form
    230,054,903,999.20/345,082,355,998.80 = 230,054,903,999.20/x
  3. Step 3: Cross multiply
    230,054,903,999.20x = 345,082,355,998.80 × 230,054,903,999.20
  4. Step 4: Simplify right side
    230,054,903,999.20x = 79,387,888,281,121,697,300,480
  5. Step 5: Solve for x
    x = 79,387,888,281,121,697,300,480/230,054,903,999.20
  6. Step 6: Final answer
    x = 345,082,355,998.80

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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.