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Finding the Fourth Proportional to 17,038,438,512.80, 25,557,657,769.20 and 17,038,438,512.80

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Solution

The fourth proportional to 17,038,438,512.80, 25,557,657,769.20 and 17,038,438,512.80 is: 25,557,657,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038,438,512.80 : 25,557,657,769.20 = 17,038,438,512.80 : x
  2. Step 2: Convert to fraction form
    17,038,438,512.80/25,557,657,769.20 = 17,038,438,512.80/x
  3. Step 3: Cross multiply
    17,038,438,512.80x = 25,557,657,769.20 × 17,038,438,512.80
  4. Step 4: Simplify right side
    17,038,438,512.80x = 435,462,580,431,699,378,176
  5. Step 5: Solve for x
    x = 435,462,580,431,699,378,176/17,038,438,512.80
  6. Step 6: Final answer
    x = 25,557,657,769.20

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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.