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Finding the Fourth Proportional to 27,889,716,287.80, 41,834,574,431.70 and 27,889,716,287.80

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Solution

The fourth proportional to 27,889,716,287.80, 41,834,574,431.70 and 27,889,716,287.80 is: 41,834,574,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,889,716,287.80 : 41,834,574,431.70 = 27,889,716,287.80 : x
  2. Step 2: Convert to fraction form
    27,889,716,287.80/41,834,574,431.70 = 27,889,716,287.80/x
  3. Step 3: Cross multiply
    27,889,716,287.80x = 41,834,574,431.70 × 27,889,716,287.80
  4. Step 4: Simplify right side
    27,889,716,287.80x = 1,166,754,411,920,964,845,568
  5. Step 5: Solve for x
    x = 1,166,754,411,920,964,845,568/27,889,716,287.80
  6. Step 6: Final answer
    x = 41,834,574,431.70

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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.