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Finding the Fourth Proportional to 10,685,954,766.65, 14,929,760,197.15 and 10,685,954,766.65

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Solution

The fourth proportional to 10,685,954,766.65, 14,929,760,197.15 and 10,685,954,766.65 is: 14,929,760,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685,954,766.65 : 14,929,760,197.15 = 10,685,954,766.65 : x
  2. Step 2: Convert to fraction form
    10,685,954,766.65/14,929,760,197.15 = 10,685,954,766.65/x
  3. Step 3: Cross multiply
    10,685,954,766.65x = 14,929,760,197.15 × 10,685,954,766.65
  4. Step 4: Simplify right side
    10,685,954,766.65x = 159,538,742,143,676,481,536
  5. Step 5: Solve for x
    x = 159,538,742,143,676,481,536/10,685,954,766.65
  6. Step 6: Final answer
    x = 14,929,760,197.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.