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Finding the Fourth Proportional to 1,322,508,474.82, 1,824,650,825.61 and 750,197,204.50

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Solution

The fourth proportional to 1,322,508,474.82, 1,824,650,825.61 and 750,197,204.50 is: 1,035,039,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,508,474.82 : 1,824,650,825.61 = 750,197,204.50 : x
  2. Step 2: Convert to fraction form
    1,322,508,474.82/1,824,650,825.61 = 750,197,204.50/x
  3. Step 3: Cross multiply
    1,322,508,474.82x = 1,824,650,825.61 × 750,197,204.50
  4. Step 4: Simplify right side
    1,322,508,474.82x = 1,368,847,948,561,239,040
  5. Step 5: Solve for x
    x = 1,368,847,948,561,239,040/1,322,508,474.82
  6. Step 6: Final answer
    x = 1,035,039,075.08

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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.