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Finding the Fourth Proportional to 201,770,116.90, 302,176,878.45 and 201,770,116.90

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Solution

The fourth proportional to 201,770,116.90, 302,176,878.45 and 201,770,116.90 is: 302,176,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,770,116.90 : 302,176,878.45 = 201,770,116.90 : x
  2. Step 2: Convert to fraction form
    201,770,116.90/302,176,878.45 = 201,770,116.90/x
  3. Step 3: Cross multiply
    201,770,116.90x = 302,176,878.45 × 201,770,116.90
  4. Step 4: Simplify right side
    201,770,116.90x = 60,970,264,089,333,592
  5. Step 5: Solve for x
    x = 60,970,264,089,333,592/201,770,116.90
  6. Step 6: Final answer
    x = 302,176,878.45

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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.