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Finding the Fourth Proportional to 193,746,492,034.20, 290,619,738,051.30 and 193,746,492,034.20

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Solution

The fourth proportional to 193,746,492,034.20, 290,619,738,051.30 and 193,746,492,034.20 is: 290,619,738,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,746,492,034.20 : 290,619,738,051.30 = 193,746,492,034.20 : x
  2. Step 2: Convert to fraction form
    193,746,492,034.20/290,619,738,051.30 = 193,746,492,034.20/x
  3. Step 3: Cross multiply
    193,746,492,034.20x = 290,619,738,051.30 × 193,746,492,034.20
  4. Step 4: Simplify right side
    193,746,492,034.20x = 56,306,554,763,337,489,448,960
  5. Step 5: Solve for x
    x = 56,306,554,763,337,489,448,960/193,746,492,034.20
  6. Step 6: Final answer
    x = 290,619,738,051.30

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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.