Home / 513,942,638,147.54-709,257,849,722.86-282,464,362,278.34

Finding the Fourth Proportional to 513,942,638,147.54, 709,257,849,722.86 and 282,464,362,278.34

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Solution

The fourth proportional to 513,942,638,147.54, 709,257,849,722.86 and 282,464,362,278.34 is: 389,810,168,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,942,638,147.54 : 709,257,849,722.86 = 282,464,362,278.34 : x
  2. Step 2: Convert to fraction form
    513,942,638,147.54/709,257,849,722.86 = 282,464,362,278.34/x
  3. Step 3: Cross multiply
    513,942,638,147.54x = 709,257,849,722.86 × 282,464,362,278.34
  4. Step 4: Simplify right side
    513,942,638,147.54x = 200,340,066,212,874,366,746,624
  5. Step 5: Solve for x
    x = 200,340,066,212,874,366,746,624/513,942,638,147.54
  6. Step 6: Final answer
    x = 389,810,168,183.33

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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.