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Finding the Fourth Proportional to 7,978,176,001.85, 11,967,264,002.78 and 7,978,176,001.85

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Solution

The fourth proportional to 7,978,176,001.85, 11,967,264,002.78 and 7,978,176,001.85 is: 11,967,264,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978,176,001.85 : 11,967,264,002.78 = 7,978,176,001.85 : x
  2. Step 2: Convert to fraction form
    7,978,176,001.85/11,967,264,002.78 = 7,978,176,001.85/x
  3. Step 3: Cross multiply
    7,978,176,001.85x = 11,967,264,002.78 × 7,978,176,001.85
  4. Step 4: Simplify right side
    7,978,176,001.85x = 95,476,938,474,742,874,112
  5. Step 5: Solve for x
    x = 95,476,938,474,742,874,112/7,978,176,001.85
  6. Step 6: Final answer
    x = 11,967,264,002.78

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1.5x scale

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.