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Finding the Fourth Proportional to 549,781,605.60, 824,672,408.40 and 494,299,165.20

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Solution

The fourth proportional to 549,781,605.60, 824,672,408.40 and 494,299,165.20 is: 741,448,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,781,605.60 : 824,672,408.40 = 494,299,165.20 : x
  2. Step 2: Convert to fraction form
    549,781,605.60/824,672,408.40 = 494,299,165.20/x
  3. Step 3: Cross multiply
    549,781,605.60x = 824,672,408.40 × 494,299,165.20
  4. Step 4: Simplify right side
    549,781,605.60x = 407,634,883,035,593,472
  5. Step 5: Solve for x
    x = 407,634,883,035,593,472/549,781,605.60
  6. Step 6: Final answer
    x = 741,448,747.80

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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.