Home / 313,538,688,201.80-470,308,032,302.70-281,213,470,512.20

Finding the Fourth Proportional to 313,538,688,201.80, 470,308,032,302.70 and 281,213,470,512.20

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Solution

The fourth proportional to 313,538,688,201.80, 470,308,032,302.70 and 281,213,470,512.20 is: 421,820,205,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,538,688,201.80 : 470,308,032,302.70 = 281,213,470,512.20 : x
  2. Step 2: Convert to fraction form
    313,538,688,201.80/470,308,032,302.70 = 281,213,470,512.20/x
  3. Step 3: Cross multiply
    313,538,688,201.80x = 470,308,032,302.70 × 281,213,470,512.20
  4. Step 4: Simplify right side
    313,538,688,201.80x = 132,256,953,973,606,147,162,112
  5. Step 5: Solve for x
    x = 132,256,953,973,606,147,162,112/313,538,688,201.80
  6. Step 6: Final answer
    x = 421,820,205,768.30

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