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Finding the Fourth Proportional to 314,604,874.40, 471,907,311.60 and 200,097,053.60

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Solution

The fourth proportional to 314,604,874.40, 471,907,311.60 and 200,097,053.60 is: 300,145,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,604,874.40 : 471,907,311.60 = 200,097,053.60 : x
  2. Step 2: Convert to fraction form
    314,604,874.40/471,907,311.60 = 200,097,053.60/x
  3. Step 3: Cross multiply
    314,604,874.40x = 471,907,311.60 × 200,097,053.60
  4. Step 4: Simplify right side
    314,604,874.40x = 94,427,262,623,457,104
  5. Step 5: Solve for x
    x = 94,427,262,623,457,104/314,604,874.40
  6. Step 6: Final answer
    x = 300,145,580.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.