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Finding the Fourth Proportional to 331,314,417,200.53, 496,971,625,800.80 and 331,314,417,200.53

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Solution

The fourth proportional to 331,314,417,200.53, 496,971,625,800.80 and 331,314,417,200.53 is: 496,971,625,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,314,417,200.53 : 496,971,625,800.80 = 331,314,417,200.53 : x
  2. Step 2: Convert to fraction form
    331,314,417,200.53/496,971,625,800.80 = 331,314,417,200.53/x
  3. Step 3: Cross multiply
    331,314,417,200.53x = 496,971,625,800.80 × 331,314,417,200.53
  4. Step 4: Simplify right side
    331,314,417,200.53x = 164,653,864,567,391,947,587,584
  5. Step 5: Solve for x
    x = 164,653,864,567,391,947,587,584/331,314,417,200.53
  6. Step 6: Final answer
    x = 496,971,625,800.80

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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.