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Finding the Fourth Proportional to 252,783,137,733.10, 379,174,706,599.65 and 252,783,137,733.10

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Solution

The fourth proportional to 252,783,137,733.10, 379,174,706,599.65 and 252,783,137,733.10 is: 379,174,706,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,783,137,733.10 : 379,174,706,599.65 = 252,783,137,733.10 : x
  2. Step 2: Convert to fraction form
    252,783,137,733.10/379,174,706,599.65 = 252,783,137,733.10/x
  3. Step 3: Cross multiply
    252,783,137,733.10x = 379,174,706,599.65 × 252,783,137,733.10
  4. Step 4: Simplify right side
    252,783,137,733.10x = 95,848,972,083,287,111,499,776
  5. Step 5: Solve for x
    x = 95,848,972,083,287,111,499,776/252,783,137,733.10
  6. Step 6: Final answer
    x = 379,174,706,599.65

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Double scale
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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.