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Finding the Fourth Proportional to 177,187,314.40, 265,780,971.60 and 177,187,314.40

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Solution

The fourth proportional to 177,187,314.40, 265,780,971.60 and 177,187,314.40 is: 265,780,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,187,314.40 : 265,780,971.60 = 177,187,314.40 : x
  2. Step 2: Convert to fraction form
    177,187,314.40/265,780,971.60 = 177,187,314.40/x
  3. Step 3: Cross multiply
    177,187,314.40x = 265,780,971.60 × 177,187,314.40
  4. Step 4: Simplify right side
    177,187,314.40x = 47,093,016,576,426,672
  5. Step 5: Solve for x
    x = 47,093,016,576,426,672/177,187,314.40
  6. Step 6: Final answer
    x = 265,780,971.60

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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.