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Finding the Fourth Proportional to 24,886,464,004.80, 37,329,696,007.20 and 24,886,464,004.80

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Solution

The fourth proportional to 24,886,464,004.80, 37,329,696,007.20 and 24,886,464,004.80 is: 37,329,696,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,886,464,004.80 : 37,329,696,007.20 = 24,886,464,004.80 : x
  2. Step 2: Convert to fraction form
    24,886,464,004.80/37,329,696,007.20 = 24,886,464,004.80/x
  3. Step 3: Cross multiply
    24,886,464,004.80x = 37,329,696,007.20 × 24,886,464,004.80
  4. Step 4: Simplify right side
    24,886,464,004.80x = 929,004,135,993,309,003,776
  5. Step 5: Solve for x
    x = 929,004,135,993,309,003,776/24,886,464,004.80
  6. Step 6: Final answer
    x = 37,329,696,007.20

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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.