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Finding the Fourth Proportional to 54,306,895,979.70, 81,460,343,969.55 and 54,306,895,979.70

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Solution

The fourth proportional to 54,306,895,979.70, 81,460,343,969.55 and 54,306,895,979.70 is: 81,460,343,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,306,895,979.70 : 81,460,343,969.55 = 54,306,895,979.70 : x
  2. Step 2: Convert to fraction form
    54,306,895,979.70/81,460,343,969.55 = 54,306,895,979.70/x
  3. Step 3: Cross multiply
    54,306,895,979.70x = 81,460,343,969.55 × 54,306,895,979.70
  4. Step 4: Simplify right side
    54,306,895,979.70x = 4,423,858,426,424,933,744,640
  5. Step 5: Solve for x
    x = 4,423,858,426,424,933,744,640/54,306,895,979.70
  6. Step 6: Final answer
    x = 81,460,343,969.55

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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.