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Finding the Fourth Proportional to 209,952,181.80, 314,928,272.70 and 133,330,199.40

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Solution

The fourth proportional to 209,952,181.80, 314,928,272.70 and 133,330,199.40 is: 199,995,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,181.80 : 314,928,272.70 = 133,330,199.40 : x
  2. Step 2: Convert to fraction form
    209,952,181.80/314,928,272.70 = 133,330,199.40/x
  3. Step 3: Cross multiply
    209,952,181.80x = 314,928,272.70 × 133,330,199.40
  4. Step 4: Simplify right side
    209,952,181.80x = 41,989,449,395,788,576
  5. Step 5: Solve for x
    x = 41,989,449,395,788,576/209,952,181.80
  6. Step 6: Final answer
    x = 199,995,299.10

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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.