Home / 1,023,150,755.34-1,534,138,653.78-400,637,126.70

Finding the Fourth Proportional to 1,023,150,755.34, 1,534,138,653.78 and 400,637,126.70

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Solution

The fourth proportional to 1,023,150,755.34, 1,534,138,653.78 and 400,637,126.70 is: 600,725,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,150,755.34 : 1,534,138,653.78 = 400,637,126.70 : x
  2. Step 2: Convert to fraction form
    1,023,150,755.34/1,534,138,653.78 = 400,637,126.70/x
  3. Step 3: Cross multiply
    1,023,150,755.34x = 1,534,138,653.78 × 400,637,126.70
  4. Step 4: Simplify right side
    1,023,150,755.34x = 614,632,902,209,825,280
  5. Step 5: Solve for x
    x = 614,632,902,209,825,280/1,023,150,755.34
  6. Step 6: Final answer
    x = 600,725,649.67

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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.