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Finding the Fourth Proportional to 234,866,465,999.78, 352,299,698,999.67 and 234,866,465,999.78

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Solution

The fourth proportional to 234,866,465,999.78, 352,299,698,999.67 and 234,866,465,999.78 is: 352,299,698,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,866,465,999.78 : 352,299,698,999.67 = 234,866,465,999.78 : x
  2. Step 2: Convert to fraction form
    234,866,465,999.78/352,299,698,999.67 = 234,866,465,999.78/x
  3. Step 3: Cross multiply
    234,866,465,999.78x = 352,299,698,999.67 × 234,866,465,999.78
  4. Step 4: Simplify right side
    234,866,465,999.78x = 82,743,385,276,838,710,345,728
  5. Step 5: Solve for x
    x = 82,743,385,276,838,710,345,728/234,866,465,999.78
  6. Step 6: Final answer
    x = 352,299,698,999.67

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1.5x scale

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.