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Finding the Fourth Proportional to 306,707,853,857.53, 460,061,780,786.28 and 306,707,853,857.53

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Solution

The fourth proportional to 306,707,853,857.53, 460,061,780,786.28 and 306,707,853,857.53 is: 460,061,780,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,707,853,857.53 : 460,061,780,786.28 = 306,707,853,857.53 : x
  2. Step 2: Convert to fraction form
    306,707,853,857.53/460,061,780,786.28 = 306,707,853,857.53/x
  3. Step 3: Cross multiply
    306,707,853,857.53x = 460,061,780,786.28 × 306,707,853,857.53
  4. Step 4: Simplify right side
    306,707,853,857.53x = 141,104,561,426,833,384,407,040
  5. Step 5: Solve for x
    x = 141,104,561,426,833,384,407,040/306,707,853,857.53
  6. Step 6: Final answer
    x = 460,061,780,786.28

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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.