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Finding the Fourth Proportional to 380,071,406.40, 569,876,162.40 and 149,775,057.60

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Solution

The fourth proportional to 380,071,406.40, 569,876,162.40 and 149,775,057.60 is: 224,571,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,071,406.40 : 569,876,162.40 = 149,775,057.60 : x
  2. Step 2: Convert to fraction form
    380,071,406.40/569,876,162.40 = 149,775,057.60/x
  3. Step 3: Cross multiply
    380,071,406.40x = 569,876,162.40 × 149,775,057.60
  4. Step 4: Simplify right side
    380,071,406.40x = 85,353,235,048,326,944
  5. Step 5: Solve for x
    x = 85,353,235,048,326,944/380,071,406.40
  6. Step 6: Final answer
    x = 224,571,576.84

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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.