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Finding the Fourth Proportional to 314,604,893.90, 471,907,340.85 and 200,097,073.10

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Solution

The fourth proportional to 314,604,893.90, 471,907,340.85 and 200,097,073.10 is: 300,145,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,604,893.90 : 471,907,340.85 = 200,097,073.10 : x
  2. Step 2: Convert to fraction form
    314,604,893.90/471,907,340.85 = 200,097,073.10/x
  3. Step 3: Cross multiply
    314,604,893.90x = 471,907,340.85 × 200,097,073.10
  4. Step 4: Simplify right side
    314,604,893.90x = 94,427,277,678,489,072
  5. Step 5: Solve for x
    x = 94,427,277,678,489,072/314,604,893.90
  6. Step 6: Final answer
    x = 300,145,609.65

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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.