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Finding the Fourth Proportional to 209,952,294.70, 314,928,442.05 and 202,299,544.30

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Solution

The fourth proportional to 209,952,294.70, 314,928,442.05 and 202,299,544.30 is: 303,449,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,294.70 : 314,928,442.05 = 202,299,544.30 : x
  2. Step 2: Convert to fraction form
    209,952,294.70/314,928,442.05 = 202,299,544.30/x
  3. Step 3: Cross multiply
    209,952,294.70x = 314,928,442.05 × 202,299,544.30
  4. Step 4: Simplify right side
    209,952,294.70x = 63,709,880,313,823,960
  5. Step 5: Solve for x
    x = 63,709,880,313,823,960/209,952,294.70
  6. Step 6: Final answer
    x = 303,449,316.45

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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.