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Finding the Fourth Proportional to 160,396,295,417.80, 240,594,443,126.70 and 160,396,295,417.80

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Solution

The fourth proportional to 160,396,295,417.80, 240,594,443,126.70 and 160,396,295,417.80 is: 240,594,443,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,396,295,417.80 : 240,594,443,126.70 = 160,396,295,417.80 : x
  2. Step 2: Convert to fraction form
    160,396,295,417.80/240,594,443,126.70 = 160,396,295,417.80/x
  3. Step 3: Cross multiply
    160,396,295,417.80x = 240,594,443,126.70 × 160,396,295,417.80
  4. Step 4: Simplify right side
    160,396,295,417.80x = 38,590,457,375,631,253,438,464
  5. Step 5: Solve for x
    x = 38,590,457,375,631,253,438,464/160,396,295,417.80
  6. Step 6: Final answer
    x = 240,594,443,126.70

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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.