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Finding the Fourth Proportional to 275,792,477.20, 413,688,715.80 and 160,906,742.80

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Solution

The fourth proportional to 275,792,477.20, 413,688,715.80 and 160,906,742.80 is: 241,360,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,792,477.20 : 413,688,715.80 = 160,906,742.80 : x
  2. Step 2: Convert to fraction form
    275,792,477.20/413,688,715.80 = 160,906,742.80/x
  3. Step 3: Cross multiply
    275,792,477.20x = 413,688,715.80 × 160,906,742.80
  4. Step 4: Simplify right side
    275,792,477.20x = 66,565,303,792,492,904
  5. Step 5: Solve for x
    x = 66,565,303,792,492,904/275,792,477.20
  6. Step 6: Final answer
    x = 241,360,114.20

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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.