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Finding the Fourth Proportional to 917,792,336.80, 1,285,864,786.40 and 917,792,336.80

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Solution

The fourth proportional to 917,792,336.80, 1,285,864,786.40 and 917,792,336.80 is: 1,285,864,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,792,336.80 : 1,285,864,786.40 = 917,792,336.80 : x
  2. Step 2: Convert to fraction form
    917,792,336.80/1,285,864,786.40 = 917,792,336.80/x
  3. Step 3: Cross multiply
    917,792,336.80x = 1,285,864,786.40 × 917,792,336.80
  4. Step 4: Simplify right side
    917,792,336.80x = 1,180,156,847,118,888,960
  5. Step 5: Solve for x
    x = 1,180,156,847,118,888,960/917,792,336.80
  6. Step 6: Final answer
    x = 1,285,864,786.40

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Double scale
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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.