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Finding the Fourth Proportional to 405,045,735.84, 558,965,799 and 219,406,749.84

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Solution

The fourth proportional to 405,045,735.84, 558,965,799 and 219,406,749.84 is: 302,782,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,045,735.84 : 558,965,799 = 219,406,749.84 : x
  2. Step 2: Convert to fraction form
    405,045,735.84/558,965,799 = 219,406,749.84/x
  3. Step 3: Cross multiply
    405,045,735.84x = 558,965,799 × 219,406,749.84
  4. Step 4: Simplify right side
    405,045,735.84x = 122,640,869,230,308,720
  5. Step 5: Solve for x
    x = 122,640,869,230,308,720/405,045,735.84
  6. Step 6: Final answer
    x = 302,782,768.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.