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Finding the Fourth Proportional to 40,806,827,998.65, 61,210,241,997.98 and 40,806,827,998.65

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Solution

The fourth proportional to 40,806,827,998.65, 61,210,241,997.98 and 40,806,827,998.65 is: 61,210,241,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,806,827,998.65 : 61,210,241,997.98 = 40,806,827,998.65 : x
  2. Step 2: Convert to fraction form
    40,806,827,998.65/61,210,241,997.98 = 40,806,827,998.65/x
  3. Step 3: Cross multiply
    40,806,827,998.65x = 61,210,241,997.98 × 40,806,827,998.65
  4. Step 4: Simplify right side
    40,806,827,998.65x = 2,497,795,816,967,108,558,848
  5. Step 5: Solve for x
    x = 2,497,795,816,967,108,558,848/40,806,827,998.65
  6. Step 6: Final answer
    x = 61,210,241,997.98

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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.