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Finding the Fourth Proportional to 118,920,220.30, 178,380,330.45 and 118,920,220.30

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Solution

The fourth proportional to 118,920,220.30, 178,380,330.45 and 118,920,220.30 is: 178,380,330.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,920,220.30 : 178,380,330.45 = 118,920,220.30 : x
  2. Step 2: Convert to fraction form
    118,920,220.30/178,380,330.45 = 118,920,220.30/x
  3. Step 3: Cross multiply
    118,920,220.30x = 178,380,330.45 × 118,920,220.30
  4. Step 4: Simplify right side
    118,920,220.30x = 21,213,028,194,300,796
  5. Step 5: Solve for x
    x = 21,213,028,194,300,796/118,920,220.30
  6. Step 6: Final answer
    x = 178,380,330.45

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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.