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Finding the Fourth Proportional to 111,877,632,381.80, 167,816,448,572.70 and 111,877,632,381.80

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Solution

The fourth proportional to 111,877,632,381.80, 167,816,448,572.70 and 111,877,632,381.80 is: 167,816,448,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,877,632,381.80 : 167,816,448,572.70 = 111,877,632,381.80 : x
  2. Step 2: Convert to fraction form
    111,877,632,381.80/167,816,448,572.70 = 111,877,632,381.80/x
  3. Step 3: Cross multiply
    111,877,632,381.80x = 167,816,448,572.70 × 111,877,632,381.80
  4. Step 4: Simplify right side
    111,877,632,381.80x = 18,774,906,941,035,778,146,304
  5. Step 5: Solve for x
    x = 18,774,906,941,035,778,146,304/111,877,632,381.80
  6. Step 6: Final answer
    x = 167,816,448,572.70

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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.