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Finding the Fourth Proportional to 3,270,661,507.70, 4,905,992,261.55 and 3,270,661,507.70

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Solution

The fourth proportional to 3,270,661,507.70, 4,905,992,261.55 and 3,270,661,507.70 is: 4,905,992,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270,661,507.70 : 4,905,992,261.55 = 3,270,661,507.70 : x
  2. Step 2: Convert to fraction form
    3,270,661,507.70/4,905,992,261.55 = 3,270,661,507.70/x
  3. Step 3: Cross multiply
    3,270,661,507.70x = 4,905,992,261.55 × 3,270,661,507.70
  4. Step 4: Simplify right side
    3,270,661,507.70x = 16,045,840,046,925,656,064
  5. Step 5: Solve for x
    x = 16,045,840,046,925,656,064/3,270,661,507.70
  6. Step 6: Final answer
    x = 4,905,992,261.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.