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Finding the Fourth Proportional to 413,971,520.40, 620,957,280.60 and 352,418,842.80

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Solution

The fourth proportional to 413,971,520.40, 620,957,280.60 and 352,418,842.80 is: 528,628,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,971,520.40 : 620,957,280.60 = 352,418,842.80 : x
  2. Step 2: Convert to fraction form
    413,971,520.40/620,957,280.60 = 352,418,842.80/x
  3. Step 3: Cross multiply
    413,971,520.40x = 620,957,280.60 × 352,418,842.80
  4. Step 4: Simplify right side
    413,971,520.40x = 218,837,046,257,286,912
  5. Step 5: Solve for x
    x = 218,837,046,257,286,912/413,971,520.40
  6. Step 6: Final answer
    x = 528,628,264.20

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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.