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Finding the Fourth Proportional to 3,669,266,486.65, 5,151,484,963.55 and 3,669,266,486.65

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Solution

The fourth proportional to 3,669,266,486.65, 5,151,484,963.55 and 3,669,266,486.65 is: 5,151,484,963.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,266,486.65 : 5,151,484,963.55 = 3,669,266,486.65 : x
  2. Step 2: Convert to fraction form
    3,669,266,486.65/5,151,484,963.55 = 3,669,266,486.65/x
  3. Step 3: Cross multiply
    3,669,266,486.65x = 5,151,484,963.55 × 3,669,266,486.65
  4. Step 4: Simplify right side
    3,669,266,486.65x = 18,902,171,133,235,412,992
  5. Step 5: Solve for x
    x = 18,902,171,133,235,412,992/3,669,266,486.65
  6. Step 6: Final answer
    x = 5,151,484,963.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.