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Finding the Fourth Proportional to 27,223,812,415.80, 40,835,718,623.70 and 27,223,812,415.80

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Solution

The fourth proportional to 27,223,812,415.80, 40,835,718,623.70 and 27,223,812,415.80 is: 40,835,718,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,223,812,415.80 : 40,835,718,623.70 = 27,223,812,415.80 : x
  2. Step 2: Convert to fraction form
    27,223,812,415.80/40,835,718,623.70 = 27,223,812,415.80/x
  3. Step 3: Cross multiply
    27,223,812,415.80x = 40,835,718,623.70 × 27,223,812,415.80
  4. Step 4: Simplify right side
    27,223,812,415.80x = 1,111,703,943,675,999,289,344
  5. Step 5: Solve for x
    x = 1,111,703,943,675,999,289,344/27,223,812,415.80
  6. Step 6: Final answer
    x = 40,835,718,623.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.