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Finding the Fourth Proportional to 160,290,400.80, 225,086,805.60 and 160,290,400.80

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Solution

The fourth proportional to 160,290,400.80, 225,086,805.60 and 160,290,400.80 is: 225,086,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,290,400.80 : 225,086,805.60 = 160,290,400.80 : x
  2. Step 2: Convert to fraction form
    160,290,400.80/225,086,805.60 = 160,290,400.80/x
  3. Step 3: Cross multiply
    160,290,400.80x = 225,086,805.60 × 160,290,400.80
  4. Step 4: Simplify right side
    160,290,400.80x = 36,079,254,284,415,688
  5. Step 5: Solve for x
    x = 36,079,254,284,415,688/160,290,400.80
  6. Step 6: Final answer
    x = 225,086,805.60

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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.