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Finding the Fourth Proportional to 202,751,996.80, 304,127,995.20 and 164,531,401.60

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Solution

The fourth proportional to 202,751,996.80, 304,127,995.20 and 164,531,401.60 is: 246,797,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,751,996.80 : 304,127,995.20 = 164,531,401.60 : x
  2. Step 2: Convert to fraction form
    202,751,996.80/304,127,995.20 = 164,531,401.60/x
  3. Step 3: Cross multiply
    202,751,996.80x = 304,127,995.20 × 164,531,401.60
  4. Step 4: Simplify right side
    202,751,996.80x = 50,038,605,316,054,072
  5. Step 5: Solve for x
    x = 50,038,605,316,054,072/202,751,996.80
  6. Step 6: Final answer
    x = 246,797,102.40

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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.