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Finding the Fourth Proportional to 160,052,616.10, 224,678,324.30 and 160,052,616.10

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Solution

The fourth proportional to 160,052,616.10, 224,678,324.30 and 160,052,616.10 is: 224,678,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,052,616.10 : 224,678,324.30 = 160,052,616.10 : x
  2. Step 2: Convert to fraction form
    160,052,616.10/224,678,324.30 = 160,052,616.10/x
  3. Step 3: Cross multiply
    160,052,616.10x = 224,678,324.30 × 160,052,616.10
  4. Step 4: Simplify right side
    160,052,616.10x = 35,960,353,585,179,200
  5. Step 5: Solve for x
    x = 35,960,353,585,179,200/160,052,616.10
  6. Step 6: Final answer
    x = 224,678,324.30

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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.