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Finding the Fourth Proportional to 668,818,521,805.80, 1,003,227,782,708.70 and 668,818,521,805.80

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Solution

The fourth proportional to 668,818,521,805.80, 1,003,227,782,708.70 and 668,818,521,805.80 is: 1,003,227,782,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,818,521,805.80 : 1,003,227,782,708.70 = 668,818,521,805.80 : x
  2. Step 2: Convert to fraction form
    668,818,521,805.80/1,003,227,782,708.70 = 668,818,521,805.80/x
  3. Step 3: Cross multiply
    668,818,521,805.80x = 1,003,227,782,708.70 × 668,818,521,805.80
  4. Step 4: Simplify right side
    668,818,521,805.80x = 670,977,322,665,743,065,546,752
  5. Step 5: Solve for x
    x = 670,977,322,665,743,065,546,752/668,818,521,805.80
  6. Step 6: Final answer
    x = 1,003,227,782,708.70

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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.