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Finding the Fourth Proportional to 358,709,662.80, 538,064,494.20 and 271,978,491.60

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Solution

The fourth proportional to 358,709,662.80, 538,064,494.20 and 271,978,491.60 is: 407,967,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,709,662.80 : 538,064,494.20 = 271,978,491.60 : x
  2. Step 2: Convert to fraction form
    358,709,662.80/538,064,494.20 = 271,978,491.60/x
  3. Step 3: Cross multiply
    358,709,662.80x = 538,064,494.20 × 271,978,491.60
  4. Step 4: Simplify right side
    358,709,662.80x = 146,341,969,516,032,960
  5. Step 5: Solve for x
    x = 146,341,969,516,032,960/358,709,662.80
  6. Step 6: Final answer
    x = 407,967,737.40

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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.