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Finding the Fourth Proportional to 440,309,241.60, 660,463,862.40 and 413,099,462.40

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Solution

The fourth proportional to 440,309,241.60, 660,463,862.40 and 413,099,462.40 is: 619,649,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,309,241.60 : 660,463,862.40 = 413,099,462.40 : x
  2. Step 2: Convert to fraction form
    440,309,241.60/660,463,862.40 = 413,099,462.40/x
  3. Step 3: Cross multiply
    440,309,241.60x = 660,463,862.40 × 413,099,462.40
  4. Step 4: Simplify right side
    440,309,241.60x = 272,837,266,492,067,552
  5. Step 5: Solve for x
    x = 272,837,266,492,067,552/440,309,241.60
  6. Step 6: Final answer
    x = 619,649,193.60

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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.