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Finding the Fourth Proportional to 201,009,797.20, 281,796,353.60 and 201,009,797.20

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Solution

The fourth proportional to 201,009,797.20, 281,796,353.60 and 201,009,797.20 is: 281,796,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,009,797.20 : 281,796,353.60 = 201,009,797.20 : x
  2. Step 2: Convert to fraction form
    201,009,797.20/281,796,353.60 = 201,009,797.20/x
  3. Step 3: Cross multiply
    201,009,797.20x = 281,796,353.60 × 201,009,797.20
  4. Step 4: Simplify right side
    201,009,797.20x = 56,643,827,888,835,488
  5. Step 5: Solve for x
    x = 56,643,827,888,835,488/201,009,797.20
  6. Step 6: Final answer
    x = 281,796,353.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.