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Finding the Fourth Proportional to 338,592,558, 507,766,962.78 and 117,203,743.56

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Solution

The fourth proportional to 338,592,558, 507,766,962.78 and 117,203,743.56 is: 175,763,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,592,558 : 507,766,962.78 = 117,203,743.56 : x
  2. Step 2: Convert to fraction form
    338,592,558/507,766,962.78 = 117,203,743.56/x
  3. Step 3: Cross multiply
    338,592,558x = 507,766,962.78 × 117,203,743.56
  4. Step 4: Simplify right side
    338,592,558x = 59,512,188,893,907,184
  5. Step 5: Solve for x
    x = 59,512,188,893,907,184/338,592,558
  6. Step 6: Final answer
    x = 175,763,428.60

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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.