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Finding the Fourth Proportional to 10,901,477,217.45, 16,352,215,826.18 and 10,901,477,217.45

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Solution

The fourth proportional to 10,901,477,217.45, 16,352,215,826.18 and 10,901,477,217.45 is: 16,352,215,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901,477,217.45 : 16,352,215,826.18 = 10,901,477,217.45 : x
  2. Step 2: Convert to fraction form
    10,901,477,217.45/16,352,215,826.18 = 10,901,477,217.45/x
  3. Step 3: Cross multiply
    10,901,477,217.45x = 16,352,215,826.18 × 10,901,477,217.45
  4. Step 4: Simplify right side
    10,901,477,217.45x = 178,263,308,283,872,083,968
  5. Step 5: Solve for x
    x = 178,263,308,283,872,083,968/10,901,477,217.45
  6. Step 6: Final answer
    x = 16,352,215,826.18

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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.