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Finding the Fourth Proportional to 651,730,656.20, 978,729,725.10 and 345,620,640.20

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Solution

The fourth proportional to 651,730,656.20, 978,729,725.10 and 345,620,640.20 is: 519,032,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,730,656.20 : 978,729,725.10 = 345,620,640.20 : x
  2. Step 2: Convert to fraction form
    651,730,656.20/978,729,725.10 = 345,620,640.20/x
  3. Step 3: Cross multiply
    651,730,656.20x = 978,729,725.10 × 345,620,640.20
  4. Step 4: Simplify right side
    651,730,656.20x = 338,269,194,171,832,000
  5. Step 5: Solve for x
    x = 338,269,194,171,832,000/651,730,656.20
  6. Step 6: Final answer
    x = 519,032,196.74

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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.