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Finding the Fourth Proportional to 160,684,865.60, 225,468,995.20 and 160,684,865.60

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Solution

The fourth proportional to 160,684,865.60, 225,468,995.20 and 160,684,865.60 is: 225,468,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,684,865.60 : 225,468,995.20 = 160,684,865.60 : x
  2. Step 2: Convert to fraction form
    160,684,865.60/225,468,995.20 = 160,684,865.60/x
  3. Step 3: Cross multiply
    160,684,865.60x = 225,468,995.20 × 160,684,865.60
  4. Step 4: Simplify right side
    160,684,865.60x = 36,229,455,190,679,040
  5. Step 5: Solve for x
    x = 36,229,455,190,679,040/160,684,865.60
  6. Step 6: Final answer
    x = 225,468,995.20

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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.