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Finding the Fourth Proportional to 238,414,287.64, 357,665,783.82 and 82,961,627.80

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Solution

The fourth proportional to 238,414,287.64, 357,665,783.82 and 82,961,627.80 is: 124,457,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,414,287.64 : 357,665,783.82 = 82,961,627.80 : x
  2. Step 2: Convert to fraction form
    238,414,287.64/357,665,783.82 = 82,961,627.80/x
  3. Step 3: Cross multiply
    238,414,287.64x = 357,665,783.82 × 82,961,627.80
  4. Step 4: Simplify right side
    238,414,287.64x = 29,672,535,634,070,100
  5. Step 5: Solve for x
    x = 29,672,535,634,070,100/238,414,287.64
  6. Step 6: Final answer
    x = 124,457,875.10

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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.