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Finding the Fourth Proportional to 405,345,798.82, 559,378,026.63 and 219,706,940.26

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Solution

The fourth proportional to 405,345,798.82, 559,378,026.63 and 219,706,940.26 is: 303,196,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,345,798.82 : 559,378,026.63 = 219,706,940.26 : x
  2. Step 2: Convert to fraction form
    405,345,798.82/559,378,026.63 = 219,706,940.26/x
  3. Step 3: Cross multiply
    405,345,798.82x = 559,378,026.63 × 219,706,940.26
  4. Step 4: Simplify right side
    405,345,798.82x = 122,899,234,679,554,096
  5. Step 5: Solve for x
    x = 122,899,234,679,554,096/405,345,798.82
  6. Step 6: Final answer
    x = 303,196,024.33

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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.