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Finding the Fourth Proportional to 1,435,987,863.84, 1,981,820,712.64 and 833,291,254.56

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Solution

The fourth proportional to 1,435,987,863.84, 1,981,820,712.64 and 833,291,254.56 is: 1,150,033,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,987,863.84 : 1,981,820,712.64 = 833,291,254.56 : x
  2. Step 2: Convert to fraction form
    1,435,987,863.84/1,981,820,712.64 = 833,291,254.56/x
  3. Step 3: Cross multiply
    1,435,987,863.84x = 1,981,820,712.64 × 833,291,254.56
  4. Step 4: Simplify right side
    1,435,987,863.84x = 1,651,433,867,948,778,752
  5. Step 5: Solve for x
    x = 1,651,433,867,948,778,752/1,435,987,863.84
  6. Step 6: Final answer
    x = 1,150,033,304.27

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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.