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Finding the Fourth Proportional to 193,401,866,086.80, 290,102,799,130.20 and 193,401,866,086.80

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Solution

The fourth proportional to 193,401,866,086.80, 290,102,799,130.20 and 193,401,866,086.80 is: 290,102,799,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,401,866,086.80 : 290,102,799,130.20 = 193,401,866,086.80 : x
  2. Step 2: Convert to fraction form
    193,401,866,086.80/290,102,799,130.20 = 193,401,866,086.80/x
  3. Step 3: Cross multiply
    193,401,866,086.80x = 290,102,799,130.20 × 193,401,866,086.80
  4. Step 4: Simplify right side
    193,401,866,086.80x = 56,106,422,708,784,777,396,224
  5. Step 5: Solve for x
    x = 56,106,422,708,784,777,396,224/193,401,866,086.80
  6. Step 6: Final answer
    x = 290,102,799,130.20

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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.