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Finding the Fourth Proportional to 15,676,928,137.65, 23,515,392,206.48 and 15,676,928,137.65

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Solution

The fourth proportional to 15,676,928,137.65, 23,515,392,206.48 and 15,676,928,137.65 is: 23,515,392,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676,928,137.65 : 23,515,392,206.48 = 15,676,928,137.65 : x
  2. Step 2: Convert to fraction form
    15,676,928,137.65/23,515,392,206.48 = 15,676,928,137.65/x
  3. Step 3: Cross multiply
    15,676,928,137.65x = 23,515,392,206.48 × 15,676,928,137.65
  4. Step 4: Simplify right side
    15,676,928,137.65x = 368,649,113,749,641,822,208
  5. Step 5: Solve for x
    x = 368,649,113,749,641,822,208/15,676,928,137.65
  6. Step 6: Final answer
    x = 23,515,392,206.48

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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.