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Finding the Fourth Proportional to 880,959,008.20, 1,319,926,857.90 and 419,904,416.20

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Solution

The fourth proportional to 880,959,008.20, 1,319,926,857.90 and 419,904,416.20 is: 629,136,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,959,008.20 : 1,319,926,857.90 = 419,904,416.20 : x
  2. Step 2: Convert to fraction form
    880,959,008.20/1,319,926,857.90 = 419,904,416.20/x
  3. Step 3: Cross multiply
    880,959,008.20x = 1,319,926,857.90 × 419,904,416.20
  4. Step 4: Simplify right side
    880,959,008.20x = 554,243,116,693,199,872
  5. Step 5: Solve for x
    x = 554,243,116,693,199,872/880,959,008.20
  6. Step 6: Final answer
    x = 629,136,102.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.