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Finding the Fourth Proportional to 218,369,523,211.40, 327,554,284,817.10 and 218,369,523,211.40

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Solution

The fourth proportional to 218,369,523,211.40, 327,554,284,817.10 and 218,369,523,211.40 is: 327,554,284,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,369,523,211.40 : 327,554,284,817.10 = 218,369,523,211.40 : x
  2. Step 2: Convert to fraction form
    218,369,523,211.40/327,554,284,817.10 = 218,369,523,211.40/x
  3. Step 3: Cross multiply
    218,369,523,211.40x = 327,554,284,817.10 × 218,369,523,211.40
  4. Step 4: Simplify right side
    218,369,523,211.40x = 71,527,873,001,361,233,674,240
  5. Step 5: Solve for x
    x = 71,527,873,001,361,233,674,240/218,369,523,211.40
  6. Step 6: Final answer
    x = 327,554,284,817.10

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1.5x scale

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.