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Finding the Fourth Proportional to 642,978,021.80, 964,467,032.70 and 638,443,058.60

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Solution

The fourth proportional to 642,978,021.80, 964,467,032.70 and 638,443,058.60 is: 957,664,587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,978,021.80 : 964,467,032.70 = 638,443,058.60 : x
  2. Step 2: Convert to fraction form
    642,978,021.80/964,467,032.70 = 638,443,058.60/x
  3. Step 3: Cross multiply
    642,978,021.80x = 964,467,032.70 × 638,443,058.60
  4. Step 4: Simplify right side
    642,978,021.80x = 615,757,282,275,854,208
  5. Step 5: Solve for x
    x = 615,757,282,275,854,208/642,978,021.80
  6. Step 6: Final answer
    x = 957,664,587.90

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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.