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Finding the Fourth Proportional to 1,166,798,728.60, 1,749,103,232.10 and 440,275,643.80

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Solution

The fourth proportional to 1,166,798,728.60, 1,749,103,232.10 and 440,275,643.80 is: 660,000,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,798,728.60 : 1,749,103,232.10 = 440,275,643.80 : x
  2. Step 2: Convert to fraction form
    1,166,798,728.60/1,749,103,232.10 = 440,275,643.80/x
  3. Step 3: Cross multiply
    1,166,798,728.60x = 1,749,103,232.10 × 440,275,643.80
  4. Step 4: Simplify right side
    1,166,798,728.60x = 770,087,551,585,488,256
  5. Step 5: Solve for x
    x = 770,087,551,585,488,256/1,166,798,728.60
  6. Step 6: Final answer
    x = 660,000,334.86

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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.