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Finding the Fourth Proportional to 7,243,344,096.30, 10,865,016,144.45 and 7,243,344,096.30

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Solution

The fourth proportional to 7,243,344,096.30, 10,865,016,144.45 and 7,243,344,096.30 is: 10,865,016,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243,344,096.30 : 10,865,016,144.45 = 7,243,344,096.30 : x
  2. Step 2: Convert to fraction form
    7,243,344,096.30/10,865,016,144.45 = 7,243,344,096.30/x
  3. Step 3: Cross multiply
    7,243,344,096.30x = 10,865,016,144.45 × 7,243,344,096.30
  4. Step 4: Simplify right side
    7,243,344,096.30x = 78,699,050,546,106,105,856
  5. Step 5: Solve for x
    x = 78,699,050,546,106,105,856/7,243,344,096.30
  6. Step 6: Final answer
    x = 10,865,016,144.45

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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.