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Finding the Fourth Proportional to 160,396,295,280.30, 240,594,442,920.45 and 160,396,295,280.30

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Solution

The fourth proportional to 160,396,295,280.30, 240,594,442,920.45 and 160,396,295,280.30 is: 240,594,442,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,396,295,280.30 : 240,594,442,920.45 = 160,396,295,280.30 : x
  2. Step 2: Convert to fraction form
    160,396,295,280.30/240,594,442,920.45 = 160,396,295,280.30/x
  3. Step 3: Cross multiply
    160,396,295,280.30x = 240,594,442,920.45 × 160,396,295,280.30
  4. Step 4: Simplify right side
    160,396,295,280.30x = 38,590,457,309,467,777,171,456
  5. Step 5: Solve for x
    x = 38,590,457,309,467,777,171,456/160,396,295,280.30
  6. Step 6: Final answer
    x = 240,594,442,920.45

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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.