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Finding the Fourth Proportional to 290,637,593,107.20, 435,956,389,660.80 and 290,637,593,107.20

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Solution

The fourth proportional to 290,637,593,107.20, 435,956,389,660.80 and 290,637,593,107.20 is: 435,956,389,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,637,593,107.20 : 435,956,389,660.80 = 290,637,593,107.20 : x
  2. Step 2: Convert to fraction form
    290,637,593,107.20/435,956,389,660.80 = 290,637,593,107.20/x
  3. Step 3: Cross multiply
    290,637,593,107.20x = 435,956,389,660.80 × 290,637,593,107.20
  4. Step 4: Simplify right side
    290,637,593,107.20x = 126,705,315,790,719,528,468,480
  5. Step 5: Solve for x
    x = 126,705,315,790,719,528,468,480/290,637,593,107.20
  6. Step 6: Final answer
    x = 435,956,389,660.80

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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.