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Finding the Fourth Proportional to 663,916,503.20, 995,024,449.20 and 509,798,613.20

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Solution

The fourth proportional to 663,916,503.20, 995,024,449.20 and 509,798,613.20 is: 764,044,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,916,503.20 : 995,024,449.20 = 509,798,613.20 : x
  2. Step 2: Convert to fraction form
    663,916,503.20/995,024,449.20 = 509,798,613.20/x
  3. Step 3: Cross multiply
    663,916,503.20x = 995,024,449.20 × 509,798,613.20
  4. Step 4: Simplify right side
    663,916,503.20x = 507,262,084,302,253,888
  5. Step 5: Solve for x
    x = 507,262,084,302,253,888/663,916,503.20
  6. Step 6: Final answer
    x = 764,044,999.42

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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.