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Finding the Fourth Proportional to 652,532,131.90, 978,798,197.85 and 394,543,114.30

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Solution

The fourth proportional to 652,532,131.90, 978,798,197.85 and 394,543,114.30 is: 591,814,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,532,131.90 : 978,798,197.85 = 394,543,114.30 : x
  2. Step 2: Convert to fraction form
    652,532,131.90/978,798,197.85 = 394,543,114.30/x
  3. Step 3: Cross multiply
    652,532,131.90x = 978,798,197.85 × 394,543,114.30
  4. Step 4: Simplify right side
    652,532,131.90x = 386,178,089,250,966,592
  5. Step 5: Solve for x
    x = 386,178,089,250,966,592/652,532,131.90
  6. Step 6: Final answer
    x = 591,814,671.45

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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.