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Finding the Fourth Proportional to 209,952,396.40, 314,928,594.60 and 166,586,810.80

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Solution

The fourth proportional to 209,952,396.40, 314,928,594.60 and 166,586,810.80 is: 249,880,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,396.40 : 314,928,594.60 = 166,586,810.80 : x
  2. Step 2: Convert to fraction form
    209,952,396.40/314,928,594.60 = 166,586,810.80/x
  3. Step 3: Cross multiply
    209,952,396.40x = 314,928,594.60 × 166,586,810.80
  4. Step 4: Simplify right side
    209,952,396.40x = 52,462,950,204,140,112
  5. Step 5: Solve for x
    x = 52,462,950,204,140,112/209,952,396.40
  6. Step 6: Final answer
    x = 249,880,216.20

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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.