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Finding the Fourth Proportional to 238,945,824,400.40, 358,418,736,600.60 and 238,945,824,400.40

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Solution

The fourth proportional to 238,945,824,400.40, 358,418,736,600.60 and 238,945,824,400.40 is: 358,418,736,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,945,824,400.40 : 358,418,736,600.60 = 238,945,824,400.40 : x
  2. Step 2: Convert to fraction form
    238,945,824,400.40/358,418,736,600.60 = 238,945,824,400.40/x
  3. Step 3: Cross multiply
    238,945,824,400.40x = 358,418,736,600.60 × 238,945,824,400.40
  4. Step 4: Simplify right side
    238,945,824,400.40x = 85,642,660,497,580,187,713,536
  5. Step 5: Solve for x
    x = 85,642,660,497,580,187,713,536/238,945,824,400.40
  6. Step 6: Final answer
    x = 358,418,736,600.60

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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.