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Finding the Fourth Proportional to 273,102,419.20, 409,653,628.80 and 273,102,419.20

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Solution

The fourth proportional to 273,102,419.20, 409,653,628.80 and 273,102,419.20 is: 409,653,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,102,419.20 : 409,653,628.80 = 273,102,419.20 : x
  2. Step 2: Convert to fraction form
    273,102,419.20/409,653,628.80 = 273,102,419.20/x
  3. Step 3: Cross multiply
    273,102,419.20x = 409,653,628.80 × 273,102,419.20
  4. Step 4: Simplify right side
    273,102,419.20x = 111,877,397,059,338,784
  5. Step 5: Solve for x
    x = 111,877,397,059,338,784/273,102,419.20
  6. Step 6: Final answer
    x = 409,653,628.80

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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.