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Finding the Fourth Proportional to 764,903,798.10, 1,147,355,697.15 and 598,456,476.90

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Solution

The fourth proportional to 764,903,798.10, 1,147,355,697.15 and 598,456,476.90 is: 897,684,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,903,798.10 : 1,147,355,697.15 = 598,456,476.90 : x
  2. Step 2: Convert to fraction form
    764,903,798.10/1,147,355,697.15 = 598,456,476.90/x
  3. Step 3: Cross multiply
    764,903,798.10x = 1,147,355,697.15 × 598,456,476.90
  4. Step 4: Simplify right side
    764,903,798.10x = 686,642,448,267,532,416
  5. Step 5: Solve for x
    x = 686,642,448,267,532,416/764,903,798.10
  6. Step 6: Final answer
    x = 897,684,715.35

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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.