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Finding the Fourth Proportional to 255,301,632,783.45, 382,952,449,175.18 and 255,301,632,783.45

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Solution

The fourth proportional to 255,301,632,783.45, 382,952,449,175.18 and 255,301,632,783.45 is: 382,952,449,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,301,632,783.45 : 382,952,449,175.18 = 255,301,632,783.45 : x
  2. Step 2: Convert to fraction form
    255,301,632,783.45/382,952,449,175.18 = 255,301,632,783.45/x
  3. Step 3: Cross multiply
    255,301,632,783.45x = 382,952,449,175.18 × 255,301,632,783.45
  4. Step 4: Simplify right side
    255,301,632,783.45x = 97,768,385,552,844,614,270,976
  5. Step 5: Solve for x
    x = 97,768,385,552,844,614,270,976/255,301,632,783.45
  6. Step 6: Final answer
    x = 382,952,449,175.18

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1.5x scale

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.