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Finding the Fourth Proportional to 193,733,608,005.80, 290,600,412,008.70 and 193,733,608,005.80

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Solution

The fourth proportional to 193,733,608,005.80, 290,600,412,008.70 and 193,733,608,005.80 is: 290,600,412,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,733,608,005.80 : 290,600,412,008.70 = 193,733,608,005.80 : x
  2. Step 2: Convert to fraction form
    193,733,608,005.80/290,600,412,008.70 = 193,733,608,005.80/x
  3. Step 3: Cross multiply
    193,733,608,005.80x = 290,600,412,008.70 × 193,733,608,005.80
  4. Step 4: Simplify right side
    193,733,608,005.80x = 56,299,066,306,417,462,870,016
  5. Step 5: Solve for x
    x = 56,299,066,306,417,462,870,016/193,733,608,005.80
  6. Step 6: Final answer
    x = 290,600,412,008.70

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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.