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Finding the Fourth Proportional to 30,649,496.42, 45,978,968.55 and 10,450,014.50

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Solution

The fourth proportional to 30,649,496.42, 45,978,968.55 and 10,450,014.50 is: 15,676,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649,496.42 : 45,978,968.55 = 10,450,014.50 : x
  2. Step 2: Convert to fraction form
    30,649,496.42/45,978,968.55 = 10,450,014.50/x
  3. Step 3: Cross multiply
    30,649,496.42x = 45,978,968.55 × 10,450,014.50
  4. Step 4: Simplify right side
    30,649,496.42x = 480,480,888,042,543.94
  5. Step 5: Solve for x
    x = 480,480,888,042,543.94/30,649,496.42
  6. Step 6: Final answer
    x = 15,676,632.38

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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.