Home / 410,431,470,907.24-615,749,749,175.07-289,655,842,371.24

Finding the Fourth Proportional to 410,431,470,907.24, 615,749,749,175.07 and 289,655,842,371.24

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Solution

The fourth proportional to 410,431,470,907.24, 615,749,749,175.07 and 289,655,842,371.24 is: 434,556,131,606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,431,470,907.24 : 615,749,749,175.07 = 289,655,842,371.24 : x
  2. Step 2: Convert to fraction form
    410,431,470,907.24/615,749,749,175.07 = 289,655,842,371.24/x
  3. Step 3: Cross multiply
    410,431,470,907.24x = 615,749,749,175.07 × 289,655,842,371.24
  4. Step 4: Simplify right side
    410,431,470,907.24x = 178,355,512,287,184,633,724,928
  5. Step 5: Solve for x
    x = 178,355,512,287,184,633,724,928/410,431,470,907.24
  6. Step 6: Final answer
    x = 434,556,131,606.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.