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Finding the Fourth Proportional to 510,097,205.60, 764,012,067.60 and 442,072,757.60

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Solution

The fourth proportional to 510,097,205.60, 764,012,067.60 and 442,072,757.60 is: 662,126,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,097,205.60 : 764,012,067.60 = 442,072,757.60 : x
  2. Step 2: Convert to fraction form
    510,097,205.60/764,012,067.60 = 442,072,757.60/x
  3. Step 3: Cross multiply
    510,097,205.60x = 764,012,067.60 × 442,072,757.60
  4. Step 4: Simplify right side
    510,097,205.60x = 337,748,921,563,609,664
  5. Step 5: Solve for x
    x = 337,748,921,563,609,664/510,097,205.60
  6. Step 6: Final answer
    x = 662,126,586.57

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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.