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Finding the Fourth Proportional to 1,736,697,640.40, 2,437,826,422 and 1,736,697,640.40

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Solution

The fourth proportional to 1,736,697,640.40, 2,437,826,422 and 1,736,697,640.40 is: 2,437,826,422

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,697,640.40 : 2,437,826,422 = 1,736,697,640.40 : x
  2. Step 2: Convert to fraction form
    1,736,697,640.40/2,437,826,422 = 1,736,697,640.40/x
  3. Step 3: Cross multiply
    1,736,697,640.40x = 2,437,826,422 × 1,736,697,640.40
  4. Step 4: Simplify right side
    1,736,697,640.40x = 4,233,767,394,792,175,104
  5. Step 5: Solve for x
    x = 4,233,767,394,792,175,104/1,736,697,640.40
  6. Step 6: Final answer
    x = 2,437,826,422

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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.