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Finding the Fourth Proportional to 171,958,464,010.70, 257,937,696,016.06 and 171,958,464,010.70

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Solution

The fourth proportional to 171,958,464,010.70, 257,937,696,016.06 and 171,958,464,010.70 is: 257,937,696,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,958,464,010.70 : 257,937,696,016.06 = 171,958,464,010.70 : x
  2. Step 2: Convert to fraction form
    171,958,464,010.70/257,937,696,016.06 = 171,958,464,010.70/x
  3. Step 3: Cross multiply
    171,958,464,010.70x = 257,937,696,016.06 × 171,958,464,010.70
  4. Step 4: Simplify right side
    171,958,464,010.70x = 44,354,570,017,380,528,816,128
  5. Step 5: Solve for x
    x = 44,354,570,017,380,528,816,128/171,958,464,010.70
  6. Step 6: Final answer
    x = 257,937,696,016.06

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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.