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Finding the Fourth Proportional to 100,407,822.40, 150,632,728.80 and 32,257,403.20

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Solution

The fourth proportional to 100,407,822.40, 150,632,728.80 and 32,257,403.20 is: 48,392,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,407,822.40 : 150,632,728.80 = 32,257,403.20 : x
  2. Step 2: Convert to fraction form
    100,407,822.40/150,632,728.80 = 32,257,403.20/x
  3. Step 3: Cross multiply
    100,407,822.40x = 150,632,728.80 × 32,257,403.20
  4. Step 4: Simplify right side
    100,407,822.40x = 4,859,020,668,017,852
  5. Step 5: Solve for x
    x = 4,859,020,668,017,852/100,407,822.40
  6. Step 6: Final answer
    x = 48,392,849.80

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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.