Home / 1,142,882,842.76-1,714,140,614.34-313,642,776.68

Finding the Fourth Proportional to 1,142,882,842.76, 1,714,140,614.34 and 313,642,776.68

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Solution

The fourth proportional to 1,142,882,842.76, 1,714,140,614.34 and 313,642,776.68 is: 470,413,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,882,842.76 : 1,714,140,614.34 = 313,642,776.68 : x
  2. Step 2: Convert to fraction form
    1,142,882,842.76/1,714,140,614.34 = 313,642,776.68/x
  3. Step 3: Cross multiply
    1,142,882,842.76x = 1,714,140,614.34 × 313,642,776.68
  4. Step 4: Simplify right side
    1,142,882,842.76x = 537,627,821,901,558,592
  5. Step 5: Solve for x
    x = 537,627,821,901,558,592/1,142,882,842.76
  6. Step 6: Final answer
    x = 470,413,765.77

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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.