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Finding the Fourth Proportional to 10,685,954,726.40, 14,929,760,140.80 and 10,685,954,726.40

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Solution

The fourth proportional to 10,685,954,726.40, 14,929,760,140.80 and 10,685,954,726.40 is: 14,929,760,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685,954,726.40 : 14,929,760,140.80 = 10,685,954,726.40 : x
  2. Step 2: Convert to fraction form
    10,685,954,726.40/14,929,760,140.80 = 10,685,954,726.40/x
  3. Step 3: Cross multiply
    10,685,954,726.40x = 14,929,760,140.80 × 10,685,954,726.40
  4. Step 4: Simplify right side
    10,685,954,726.40x = 159,538,740,940,600,082,432
  5. Step 5: Solve for x
    x = 159,538,740,940,600,082,432/10,685,954,726.40
  6. Step 6: Final answer
    x = 14,929,760,140.80

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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.