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Finding the Fourth Proportional to 5,097,788,447.20, 7,646,682,670.80 and 5,097,788,447.20

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Solution

The fourth proportional to 5,097,788,447.20, 7,646,682,670.80 and 5,097,788,447.20 is: 7,646,682,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097,788,447.20 : 7,646,682,670.80 = 5,097,788,447.20 : x
  2. Step 2: Convert to fraction form
    5,097,788,447.20/7,646,682,670.80 = 5,097,788,447.20/x
  3. Step 3: Cross multiply
    5,097,788,447.20x = 7,646,682,670.80 × 5,097,788,447.20
  4. Step 4: Simplify right side
    5,097,788,447.20x = 38,981,170,578,608,676,864
  5. Step 5: Solve for x
    x = 38,981,170,578,608,676,864/5,097,788,447.20
  6. Step 6: Final answer
    x = 7,646,682,670.80

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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.