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Finding the Fourth Proportional to 272,879,007.80, 409,318,511.70 and 150,009,848.60

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Solution

The fourth proportional to 272,879,007.80, 409,318,511.70 and 150,009,848.60 is: 225,014,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,879,007.80 : 409,318,511.70 = 150,009,848.60 : x
  2. Step 2: Convert to fraction form
    272,879,007.80/409,318,511.70 = 150,009,848.60/x
  3. Step 3: Cross multiply
    272,879,007.80x = 409,318,511.70 × 150,009,848.60
  4. Step 4: Simplify right side
    272,879,007.80x = 61,401,807,969,294,328
  5. Step 5: Solve for x
    x = 61,401,807,969,294,328/272,879,007.80
  6. Step 6: Final answer
    x = 225,014,772.90

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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.