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Finding the Fourth Proportional to 260,760,384,047.93, 391,140,576,071.90 and 260,760,384,047.93

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Solution

The fourth proportional to 260,760,384,047.93, 391,140,576,071.90 and 260,760,384,047.93 is: 391,140,576,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,760,384,047.93 : 391,140,576,071.90 = 260,760,384,047.93 : x
  2. Step 2: Convert to fraction form
    260,760,384,047.93/391,140,576,071.90 = 260,760,384,047.93/x
  3. Step 3: Cross multiply
    260,760,384,047.93x = 391,140,576,071.90 × 260,760,384,047.93
  4. Step 4: Simplify right side
    260,760,384,047.93x = 101,993,966,833,237,227,470,848
  5. Step 5: Solve for x
    x = 101,993,966,833,237,227,470,848/260,760,384,047.93
  6. Step 6: Final answer
    x = 391,140,576,071.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.