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Finding the Fourth Proportional to 17,038,174,679.80, 25,508,889,078.90 and 17,038,174,679.80

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Solution

The fourth proportional to 17,038,174,679.80, 25,508,889,078.90 and 17,038,174,679.80 is: 25,508,889,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038,174,679.80 : 25,508,889,078.90 = 17,038,174,679.80 : x
  2. Step 2: Convert to fraction form
    17,038,174,679.80/25,508,889,078.90 = 17,038,174,679.80/x
  3. Step 3: Cross multiply
    17,038,174,679.80x = 25,508,889,078.90 × 17,038,174,679.80
  4. Step 4: Simplify right side
    17,038,174,679.80x = 434,624,908,013,940,703,232
  5. Step 5: Solve for x
    x = 434,624,908,013,940,703,232/17,038,174,679.80
  6. Step 6: Final answer
    x = 25,508,889,078.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.