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Finding the Fourth Proportional to 96,536,772,384.45, 144,805,158,576.67 and 96,536,772,384.45

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Solution

The fourth proportional to 96,536,772,384.45, 144,805,158,576.67 and 96,536,772,384.45 is: 144,805,158,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,536,772,384.45 : 144,805,158,576.67 = 96,536,772,384.45 : x
  2. Step 2: Convert to fraction form
    96,536,772,384.45/144,805,158,576.67 = 96,536,772,384.45/x
  3. Step 3: Cross multiply
    96,536,772,384.45x = 144,805,158,576.67 × 96,536,772,384.45
  4. Step 4: Simplify right side
    96,536,772,384.45x = 13,979,022,633,610,181,083,136
  5. Step 5: Solve for x
    x = 13,979,022,633,610,181,083,136/96,536,772,384.45
  6. Step 6: Final answer
    x = 144,805,158,576.67

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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.