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Finding the Fourth Proportional to 510,607,497.60, 764,777,505.60 and 419,908,233.60

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Solution

The fourth proportional to 510,607,497.60, 764,777,505.60 and 419,908,233.60 is: 628,929,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,607,497.60 : 764,777,505.60 = 419,908,233.60 : x
  2. Step 2: Convert to fraction form
    510,607,497.60/764,777,505.60 = 419,908,233.60/x
  3. Step 3: Cross multiply
    510,607,497.60x = 764,777,505.60 × 419,908,233.60
  4. Step 4: Simplify right side
    510,607,497.60x = 321,136,371,473,510,144
  5. Step 5: Solve for x
    x = 321,136,371,473,510,144/510,607,497.60
  6. Step 6: Final answer
    x = 628,929,996.10

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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.