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Finding the Fourth Proportional to 10,685,953,232.90, 14,929,758,049.90 and 10,685,953,232.90

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Solution

The fourth proportional to 10,685,953,232.90, 14,929,758,049.90 and 10,685,953,232.90 is: 14,929,758,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685,953,232.90 : 14,929,758,049.90 = 10,685,953,232.90 : x
  2. Step 2: Convert to fraction form
    10,685,953,232.90/14,929,758,049.90 = 10,685,953,232.90/x
  3. Step 3: Cross multiply
    10,685,953,232.90x = 14,929,758,049.90 × 10,685,953,232.90
  4. Step 4: Simplify right side
    10,685,953,232.90x = 159,538,696,299,743,707,136
  5. Step 5: Solve for x
    x = 159,538,696,299,743,707,136/10,685,953,232.90
  6. Step 6: Final answer
    x = 14,929,758,049.90

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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.