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Finding the Fourth Proportional to 534,478,543.20, 749,290,327.20 and 534,478,543.20

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Solution

The fourth proportional to 534,478,543.20, 749,290,327.20 and 534,478,543.20 is: 749,290,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,478,543.20 : 749,290,327.20 = 534,478,543.20 : x
  2. Step 2: Convert to fraction form
    534,478,543.20/749,290,327.20 = 534,478,543.20/x
  3. Step 3: Cross multiply
    534,478,543.20x = 749,290,327.20 × 534,478,543.20
  4. Step 4: Simplify right side
    534,478,543.20x = 400,479,602,515,707,328
  5. Step 5: Solve for x
    x = 400,479,602,515,707,328/534,478,543.20
  6. Step 6: Final answer
    x = 749,290,327.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.