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Finding the Fourth Proportional to 100,302,476.70, 150,214,566.60 and 100,302,476.70

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Solution

The fourth proportional to 100,302,476.70, 150,214,566.60 and 100,302,476.70 is: 150,214,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,302,476.70 : 150,214,566.60 = 100,302,476.70 : x
  2. Step 2: Convert to fraction form
    100,302,476.70/150,214,566.60 = 100,302,476.70/x
  3. Step 3: Cross multiply
    100,302,476.70x = 150,214,566.60 × 100,302,476.70
  4. Step 4: Simplify right side
    100,302,476.70x = 15,066,893,066,397,098
  5. Step 5: Solve for x
    x = 15,066,893,066,397,098/100,302,476.70
  6. Step 6: Final answer
    x = 150,214,566.60

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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.