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Finding the Fourth Proportional to 1,775,362,834.40, 2,490,949,924 and 1,775,362,834.40

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Solution

The fourth proportional to 1,775,362,834.40, 2,490,949,924 and 1,775,362,834.40 is: 2,490,949,924

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775,362,834.40 : 2,490,949,924 = 1,775,362,834.40 : x
  2. Step 2: Convert to fraction form
    1,775,362,834.40/2,490,949,924 = 1,775,362,834.40/x
  3. Step 3: Cross multiply
    1,775,362,834.40x = 2,490,949,924 × 1,775,362,834.40
  4. Step 4: Simplify right side
    1,775,362,834.40x = 4,422,339,917,421,104,640
  5. Step 5: Solve for x
    x = 4,422,339,917,421,104,640/1,775,362,834.40
  6. Step 6: Final answer
    x = 2,490,949,924

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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.