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Finding the Fourth Proportional to 299,383,802.30, 449,075,703.45 and 218,762,234.30

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Solution

The fourth proportional to 299,383,802.30, 449,075,703.45 and 218,762,234.30 is: 328,143,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,383,802.30 : 449,075,703.45 = 218,762,234.30 : x
  2. Step 2: Convert to fraction form
    299,383,802.30/449,075,703.45 = 218,762,234.30/x
  3. Step 3: Cross multiply
    299,383,802.30x = 449,075,703.45 × 218,762,234.30
  4. Step 4: Simplify right side
    299,383,802.30x = 98,240,804,256,566,224
  5. Step 5: Solve for x
    x = 98,240,804,256,566,224/299,383,802.30
  6. Step 6: Final answer
    x = 328,143,351.45

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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.