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Finding the Fourth Proportional to 320,386,596.20, 449,561,601.40 and 320,386,596.20

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Solution

The fourth proportional to 320,386,596.20, 449,561,601.40 and 320,386,596.20 is: 449,561,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,386,596.20 : 449,561,601.40 = 320,386,596.20 : x
  2. Step 2: Convert to fraction form
    320,386,596.20/449,561,601.40 = 320,386,596.20/x
  3. Step 3: Cross multiply
    320,386,596.20x = 449,561,601.40 × 320,386,596.20
  4. Step 4: Simplify right side
    320,386,596.20x = 144,033,511,254,767,136
  5. Step 5: Solve for x
    x = 144,033,511,254,767,136/320,386,596.20
  6. Step 6: Final answer
    x = 449,561,601.40

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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.