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Finding the Fourth Proportional to 594,428,544,083.80, 834,550,886,640.20 and 594,428,544,083.80

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Solution

The fourth proportional to 594,428,544,083.80, 834,550,886,640.20 and 594,428,544,083.80 is: 834,550,886,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,428,544,083.80 : 834,550,886,640.20 = 594,428,544,083.80 : x
  2. Step 2: Convert to fraction form
    594,428,544,083.80/834,550,886,640.20 = 594,428,544,083.80/x
  3. Step 3: Cross multiply
    594,428,544,083.80x = 834,550,886,640.20 × 594,428,544,083.80
  4. Step 4: Simplify right side
    594,428,544,083.80x = 496,080,868,509,378,519,498,752
  5. Step 5: Solve for x
    x = 496,080,868,509,378,519,498,752/594,428,544,083.80
  6. Step 6: Final answer
    x = 834,550,886,640.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.