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Finding the Fourth Proportional to 28,257,984,004.80, 42,295,143,002.40 and 28,257,984,004.80

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Solution

The fourth proportional to 28,257,984,004.80, 42,295,143,002.40 and 28,257,984,004.80 is: 42,295,143,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,257,984,004.80 : 42,295,143,002.40 = 28,257,984,004.80 : x
  2. Step 2: Convert to fraction form
    28,257,984,004.80/42,295,143,002.40 = 28,257,984,004.80/x
  3. Step 3: Cross multiply
    28,257,984,004.80x = 42,295,143,002.40 × 28,257,984,004.80
  4. Step 4: Simplify right side
    28,257,984,004.80x = 1,195,175,474,442,547,757,056
  5. Step 5: Solve for x
    x = 1,195,175,474,442,547,757,056/28,257,984,004.80
  6. Step 6: Final answer
    x = 42,295,143,002.40

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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.