Home / 410,431,470,913.46-615,749,749,184.34-289,655,842,377.46

Finding the Fourth Proportional to 410,431,470,913.46, 615,749,749,184.34 and 289,655,842,377.46

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Solution

The fourth proportional to 410,431,470,913.46, 615,749,749,184.34 and 289,655,842,377.46 is: 434,556,131,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,431,470,913.46 : 615,749,749,184.34 = 289,655,842,377.46 : x
  2. Step 2: Convert to fraction form
    410,431,470,913.46/615,749,749,184.34 = 289,655,842,377.46/x
  3. Step 3: Cross multiply
    410,431,470,913.46x = 615,749,749,184.34 × 289,655,842,377.46
  4. Step 4: Simplify right side
    410,431,470,913.46x = 178,355,512,293,699,730,014,208
  5. Step 5: Solve for x
    x = 178,355,512,293,699,730,014,208/410,431,470,913.46
  6. Step 6: Final answer
    x = 434,556,131,616.20

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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.