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Finding the Fourth Proportional to 27,477,369,940.80, 41,216,054,911.20 and 27,477,369,940.80

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Solution

The fourth proportional to 27,477,369,940.80, 41,216,054,911.20 and 27,477,369,940.80 is: 41,216,054,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477,369,940.80 : 41,216,054,911.20 = 27,477,369,940.80 : x
  2. Step 2: Convert to fraction form
    27,477,369,940.80/41,216,054,911.20 = 27,477,369,940.80/x
  3. Step 3: Cross multiply
    27,477,369,940.80x = 41,216,054,911.20 × 27,477,369,940.80
  4. Step 4: Simplify right side
    27,477,369,940.80x = 1,132,508,788,295,368,966,144
  5. Step 5: Solve for x
    x = 1,132,508,788,295,368,966,144/27,477,369,940.80
  6. Step 6: Final answer
    x = 41,216,054,911.20

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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.