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Finding the Fourth Proportional to 652,532,137.40, 978,798,206.10 and 394,543,119.80

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Solution

The fourth proportional to 652,532,137.40, 978,798,206.10 and 394,543,119.80 is: 591,814,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,532,137.40 : 978,798,206.10 = 394,543,119.80 : x
  2. Step 2: Convert to fraction form
    652,532,137.40/978,798,206.10 = 394,543,119.80/x
  3. Step 3: Cross multiply
    652,532,137.40x = 978,798,206.10 × 394,543,119.80
  4. Step 4: Simplify right side
    652,532,137.40x = 386,178,097,889,337,408
  5. Step 5: Solve for x
    x = 386,178,097,889,337,408/652,532,137.40
  6. Step 6: Final answer
    x = 591,814,679.70

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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.