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Finding the Fourth Proportional to 326,726,334.90, 457,756,991.10 and 326,726,334.90

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Solution

The fourth proportional to 326,726,334.90, 457,756,991.10 and 326,726,334.90 is: 457,756,991.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,726,334.90 : 457,756,991.10 = 326,726,334.90 : x
  2. Step 2: Convert to fraction form
    326,726,334.90/457,756,991.10 = 326,726,334.90/x
  3. Step 3: Cross multiply
    326,726,334.90x = 457,756,991.10 × 326,726,334.90
  4. Step 4: Simplify right side
    326,726,334.90x = 149,561,263,976,954,912
  5. Step 5: Solve for x
    x = 149,561,263,976,954,912/326,726,334.90
  6. Step 6: Final answer
    x = 457,756,991.10

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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.