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Finding the Fourth Proportional to 201,009,800.45, 281,796,358.15 and 201,009,800.45

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Solution

The fourth proportional to 201,009,800.45, 281,796,358.15 and 201,009,800.45 is: 281,796,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,009,800.45 : 281,796,358.15 = 201,009,800.45 : x
  2. Step 2: Convert to fraction form
    201,009,800.45/281,796,358.15 = 201,009,800.45/x
  3. Step 3: Cross multiply
    201,009,800.45x = 281,796,358.15 × 201,009,800.45
  4. Step 4: Simplify right side
    201,009,800.45x = 56,643,829,719,268,224
  5. Step 5: Solve for x
    x = 56,643,829,719,268,224/201,009,800.45
  6. Step 6: Final answer
    x = 281,796,358.15

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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.