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Finding the Fourth Proportional to 764,903,786.60, 1,147,355,679.90 and 598,456,465.40

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Solution

The fourth proportional to 764,903,786.60, 1,147,355,679.90 and 598,456,465.40 is: 897,684,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,903,786.60 : 1,147,355,679.90 = 598,456,465.40 : x
  2. Step 2: Convert to fraction form
    764,903,786.60/1,147,355,679.90 = 598,456,465.40/x
  3. Step 3: Cross multiply
    764,903,786.60x = 1,147,355,679.90 × 598,456,465.40
  4. Step 4: Simplify right side
    764,903,786.60x = 686,642,424,749,567,872
  5. Step 5: Solve for x
    x = 686,642,424,749,567,872/764,903,786.60
  6. Step 6: Final answer
    x = 897,684,698.10

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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.