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Finding the Fourth Proportional to 510,085,604.80, 763,994,666.40 and 510,085,604.80

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Solution

The fourth proportional to 510,085,604.80, 763,994,666.40 and 510,085,604.80 is: 763,994,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,085,604.80 : 763,994,666.40 = 510,085,604.80 : x
  2. Step 2: Convert to fraction form
    510,085,604.80/763,994,666.40 = 510,085,604.80/x
  3. Step 3: Cross multiply
    510,085,604.80x = 763,994,666.40 × 510,085,604.80
  4. Step 4: Simplify right side
    510,085,604.80x = 389,702,681,474,618,240
  5. Step 5: Solve for x
    x = 389,702,681,474,618,240/510,085,604.80
  6. Step 6: Final answer
    x = 763,994,666.40

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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.