Home / 296,996,607,231.40-409,865,217,942.20-166,808,404,187.56

Finding the Fourth Proportional to 296,996,607,231.40, 409,865,217,942.20 and 166,808,404,187.56

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Solution

The fourth proportional to 296,996,607,231.40, 409,865,217,942.20 and 166,808,404,187.56 is: 230,201,158,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,996,607,231.40 : 409,865,217,942.20 = 166,808,404,187.56 : x
  2. Step 2: Convert to fraction form
    296,996,607,231.40/409,865,217,942.20 = 166,808,404,187.56/x
  3. Step 3: Cross multiply
    296,996,607,231.40x = 409,865,217,942.20 × 166,808,404,187.56
  4. Step 4: Simplify right side
    296,996,607,231.40x = 68,368,962,936,924,866,084,864
  5. Step 5: Solve for x
    x = 68,368,962,936,924,866,084,864/296,996,607,231.40
  6. Step 6: Final answer
    x = 230,201,158,101.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.