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Finding the Fourth Proportional to 350,750,172.80, 491,856,457.60 and 350,750,172.80

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Solution

The fourth proportional to 350,750,172.80, 491,856,457.60 and 350,750,172.80 is: 491,856,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,750,172.80 : 491,856,457.60 = 350,750,172.80 : x
  2. Step 2: Convert to fraction form
    350,750,172.80/491,856,457.60 = 350,750,172.80/x
  3. Step 3: Cross multiply
    350,750,172.80x = 491,856,457.60 × 350,750,172.80
  4. Step 4: Simplify right side
    350,750,172.80x = 172,518,737,495,995,872
  5. Step 5: Solve for x
    x = 172,518,737,495,995,872/350,750,172.80
  6. Step 6: Final answer
    x = 491,856,457.60

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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.