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Finding the Fourth Proportional to 818,169,754.80, 1,129,066,782.84 and 446,891,674.80

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Solution

The fourth proportional to 818,169,754.80, 1,129,066,782.84 and 446,891,674.80 is: 616,706,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,169,754.80 : 1,129,066,782.84 = 446,891,674.80 : x
  2. Step 2: Convert to fraction form
    818,169,754.80/1,129,066,782.84 = 446,891,674.80/x
  3. Step 3: Cross multiply
    818,169,754.80x = 1,129,066,782.84 × 446,891,674.80
  4. Step 4: Simplify right side
    818,169,754.80x = 504,570,545,544,415,488
  5. Step 5: Solve for x
    x = 504,570,545,544,415,488/818,169,754.80
  6. Step 6: Final answer
    x = 616,706,426.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.