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Finding the Fourth Proportional to 651,672,938.20, 978,643,148.10 and 345,562,922.20

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Solution

The fourth proportional to 651,672,938.20, 978,643,148.10 and 345,562,922.20 is: 518,945,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,672,938.20 : 978,643,148.10 = 345,562,922.20 : x
  2. Step 2: Convert to fraction form
    651,672,938.20/978,643,148.10 = 345,562,922.20/x
  3. Step 3: Cross multiply
    651,672,938.20x = 978,643,148.10 × 345,562,922.20
  4. Step 4: Simplify right side
    651,672,938.20x = 338,182,786,048,443,392
  5. Step 5: Solve for x
    x = 338,182,786,048,443,392/651,672,938.20
  6. Step 6: Final answer
    x = 518,945,572.58

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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.