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Finding the Fourth Proportional to 818,917,776,093.90, 1,226,723,670,054.50 and 818,917,776,093.90

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Solution

The fourth proportional to 818,917,776,093.90, 1,226,723,670,054.50 and 818,917,776,093.90 is: 1,226,723,670,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,917,776,093.90 : 1,226,723,670,054.50 = 818,917,776,093.90 : x
  2. Step 2: Convert to fraction form
    818,917,776,093.90/1,226,723,670,054.50 = 818,917,776,093.90/x
  3. Step 3: Cross multiply
    818,917,776,093.90x = 1,226,723,670,054.50 × 818,917,776,093.90
  4. Step 4: Simplify right side
    818,917,776,093.90x = 1,004,585,819,762,778,305,462,272
  5. Step 5: Solve for x
    x = 1,004,585,819,762,778,305,462,272/818,917,776,093.90
  6. Step 6: Final answer
    x = 1,226,723,670,054.50

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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.