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Finding the Fourth Proportional to 25,840,512,014.40, 38,760,768,021.60 and 25,840,512,014.40

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Solution

The fourth proportional to 25,840,512,014.40, 38,760,768,021.60 and 25,840,512,014.40 is: 38,760,768,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,840,512,014.40 : 38,760,768,021.60 = 25,840,512,014.40 : x
  2. Step 2: Convert to fraction form
    25,840,512,014.40/38,760,768,021.60 = 25,840,512,014.40/x
  3. Step 3: Cross multiply
    25,840,512,014.40x = 38,760,768,021.60 × 25,840,512,014.40
  4. Step 4: Simplify right side
    25,840,512,014.40x = 1,001,598,091,749,526,077,440
  5. Step 5: Solve for x
    x = 1,001,598,091,749,526,077,440/25,840,512,014.40
  6. Step 6: Final answer
    x = 38,760,768,021.60

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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.