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Finding the Fourth Proportional to 6,378,277,715.40, 8,907,820,978.20 and 6,378,277,715.40

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Solution

The fourth proportional to 6,378,277,715.40, 8,907,820,978.20 and 6,378,277,715.40 is: 8,907,820,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378,277,715.40 : 8,907,820,978.20 = 6,378,277,715.40 : x
  2. Step 2: Convert to fraction form
    6,378,277,715.40/8,907,820,978.20 = 6,378,277,715.40/x
  3. Step 3: Cross multiply
    6,378,277,715.40x = 8,907,820,978.20 × 6,378,277,715.40
  4. Step 4: Simplify right side
    6,378,277,715.40x = 56,816,556,038,025,691,136
  5. Step 5: Solve for x
    x = 56,816,556,038,025,691,136/6,378,277,715.40
  6. Step 6: Final answer
    x = 8,907,820,978.20

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1.5x scale

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.