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Finding the Fourth Proportional to 127,540,920,047.70, 191,311,380,071.55 and 127,540,920,047.70

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Solution

The fourth proportional to 127,540,920,047.70, 191,311,380,071.55 and 127,540,920,047.70 is: 191,311,380,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,540,920,047.70 : 191,311,380,071.55 = 127,540,920,047.70 : x
  2. Step 2: Convert to fraction form
    127,540,920,047.70/191,311,380,071.55 = 127,540,920,047.70/x
  3. Step 3: Cross multiply
    127,540,920,047.70x = 191,311,380,071.55 × 127,540,920,047.70
  4. Step 4: Simplify right side
    127,540,920,047.70x = 24,400,029,429,920,702,660,608
  5. Step 5: Solve for x
    x = 24,400,029,429,920,702,660,608/127,540,920,047.70
  6. Step 6: Final answer
    x = 191,311,380,071.55

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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.