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Finding the Fourth Proportional to 1,426,412,986.20, 1,992,896,713.80 and 1,426,412,986.20

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Solution

The fourth proportional to 1,426,412,986.20, 1,992,896,713.80 and 1,426,412,986.20 is: 1,992,896,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,412,986.20 : 1,992,896,713.80 = 1,426,412,986.20 : x
  2. Step 2: Convert to fraction form
    1,426,412,986.20/1,992,896,713.80 = 1,426,412,986.20/x
  3. Step 3: Cross multiply
    1,426,412,986.20x = 1,992,896,713.80 × 1,426,412,986.20
  4. Step 4: Simplify right side
    1,426,412,986.20x = 2,842,693,752,719,624,704
  5. Step 5: Solve for x
    x = 2,842,693,752,719,624,704/1,426,412,986.20
  6. Step 6: Final answer
    x = 1,992,896,713.80

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