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Finding the Fourth Proportional to 96,536,772,564.45, 144,805,158,846.67 and 96,536,772,564.45

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Solution

The fourth proportional to 96,536,772,564.45, 144,805,158,846.67 and 96,536,772,564.45 is: 144,805,158,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,536,772,564.45 : 144,805,158,846.67 = 96,536,772,564.45 : x
  2. Step 2: Convert to fraction form
    96,536,772,564.45/144,805,158,846.67 = 96,536,772,564.45/x
  3. Step 3: Cross multiply
    96,536,772,564.45x = 144,805,158,846.67 × 96,536,772,564.45
  4. Step 4: Simplify right side
    96,536,772,564.45x = 13,979,022,685,740,038,356,992
  5. Step 5: Solve for x
    x = 13,979,022,685,740,038,356,992/96,536,772,564.45
  6. Step 6: Final answer
    x = 144,805,158,846.67

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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.