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Finding the Fourth Proportional to 350,590,350.40, 525,885,525.60 and 214,541,454.40

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Solution

The fourth proportional to 350,590,350.40, 525,885,525.60 and 214,541,454.40 is: 321,812,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,590,350.40 : 525,885,525.60 = 214,541,454.40 : x
  2. Step 2: Convert to fraction form
    350,590,350.40/525,885,525.60 = 214,541,454.40/x
  3. Step 3: Cross multiply
    350,590,350.40x = 525,885,525.60 × 214,541,454.40
  4. Step 4: Simplify right side
    350,590,350.40x = 112,824,245,510,132,448
  5. Step 5: Solve for x
    x = 112,824,245,510,132,448/350,590,350.40
  6. Step 6: Final answer
    x = 321,812,181.60

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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.