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Finding the Fourth Proportional to 209,952,398.40, 314,928,597.60 and 166,586,812.80

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Solution

The fourth proportional to 209,952,398.40, 314,928,597.60 and 166,586,812.80 is: 249,880,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,398.40 : 314,928,597.60 = 166,586,812.80 : x
  2. Step 2: Convert to fraction form
    209,952,398.40/314,928,597.60 = 166,586,812.80/x
  3. Step 3: Cross multiply
    209,952,398.40x = 314,928,597.60 × 166,586,812.80
  4. Step 4: Simplify right side
    209,952,398.40x = 52,462,951,333,757,736
  5. Step 5: Solve for x
    x = 52,462,951,333,757,736/209,952,398.40
  6. Step 6: Final answer
    x = 249,880,219.20

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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.