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Finding the Fourth Proportional to 24,167,293,313.30, 36,250,939,969.95 and 24,167,293,313.30

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Solution

The fourth proportional to 24,167,293,313.30, 36,250,939,969.95 and 24,167,293,313.30 is: 36,250,939,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,167,293,313.30 : 36,250,939,969.95 = 24,167,293,313.30 : x
  2. Step 2: Convert to fraction form
    24,167,293,313.30/36,250,939,969.95 = 24,167,293,313.30/x
  3. Step 3: Cross multiply
    24,167,293,313.30x = 36,250,939,969.95 × 24,167,293,313.30
  4. Step 4: Simplify right side
    24,167,293,313.30x = 876,087,099,136,612,237,312
  5. Step 5: Solve for x
    x = 876,087,099,136,612,237,312/24,167,293,313.30
  6. Step 6: Final answer
    x = 36,250,939,969.95

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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.