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Finding the Fourth Proportional to 110,008,651,570.45, 165,012,977,355.67 and 110,008,651,570.45

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Solution

The fourth proportional to 110,008,651,570.45, 165,012,977,355.67 and 110,008,651,570.45 is: 165,012,977,355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,008,651,570.45 : 165,012,977,355.67 = 110,008,651,570.45 : x
  2. Step 2: Convert to fraction form
    110,008,651,570.45/165,012,977,355.67 = 110,008,651,570.45/x
  3. Step 3: Cross multiply
    110,008,651,570.45x = 165,012,977,355.67 × 110,008,651,570.45
  4. Step 4: Simplify right side
    110,008,651,570.45x = 18,152,855,130,522,458,783,744
  5. Step 5: Solve for x
    x = 18,152,855,130,522,458,783,744/110,008,651,570.45
  6. Step 6: Final answer
    x = 165,012,977,355.67

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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.