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Finding the Fourth Proportional to 201,852,609.80, 302,778,914.70 and 165,980,342.30

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Solution

The fourth proportional to 201,852,609.80, 302,778,914.70 and 165,980,342.30 is: 248,970,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,852,609.80 : 302,778,914.70 = 165,980,342.30 : x
  2. Step 2: Convert to fraction form
    201,852,609.80/302,778,914.70 = 165,980,342.30/x
  3. Step 3: Cross multiply
    201,852,609.80x = 302,778,914.70 × 165,980,342.30
  4. Step 4: Simplify right side
    201,852,609.80x = 50,255,347,903,128,504
  5. Step 5: Solve for x
    x = 50,255,347,903,128,504/201,852,609.80
  6. Step 6: Final answer
    x = 248,970,513.45

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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.