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Finding the Fourth Proportional to 510,607,434.60, 764,777,411.10 and 419,908,170.60

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Solution

The fourth proportional to 510,607,434.60, 764,777,411.10 and 419,908,170.60 is: 628,929,901.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,607,434.60 : 764,777,411.10 = 419,908,170.60 : x
  2. Step 2: Convert to fraction form
    510,607,434.60/764,777,411.10 = 419,908,170.60/x
  3. Step 3: Cross multiply
    510,607,434.60x = 764,777,411.10 × 419,908,170.60
  4. Step 4: Simplify right side
    510,607,434.60x = 321,136,283,611,205,184
  5. Step 5: Solve for x
    x = 321,136,283,611,205,184/510,607,434.60
  6. Step 6: Final answer
    x = 628,929,901.62

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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.