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Finding the Fourth Proportional to 116,474,111,996.80, 174,711,167,995.20 and 116,474,111,996.80

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Solution

The fourth proportional to 116,474,111,996.80, 174,711,167,995.20 and 116,474,111,996.80 is: 174,711,167,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,474,111,996.80 : 174,711,167,995.20 = 116,474,111,996.80 : x
  2. Step 2: Convert to fraction form
    116,474,111,996.80/174,711,167,995.20 = 116,474,111,996.80/x
  3. Step 3: Cross multiply
    116,474,111,996.80x = 174,711,167,995.20 × 116,474,111,996.80
  4. Step 4: Simplify right side
    116,474,111,996.80x = 20,349,328,148,164,666,982,400
  5. Step 5: Solve for x
    x = 20,349,328,148,164,666,982,400/116,474,111,996.80
  6. Step 6: Final answer
    x = 174,711,167,995.20

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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.