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Finding the Fourth Proportional to 510,085,590.30, 763,994,644.65 and 510,085,590.30

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Solution

The fourth proportional to 510,085,590.30, 763,994,644.65 and 510,085,590.30 is: 763,994,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,085,590.30 : 763,994,644.65 = 510,085,590.30 : x
  2. Step 2: Convert to fraction form
    510,085,590.30/763,994,644.65 = 510,085,590.30/x
  3. Step 3: Cross multiply
    510,085,590.30x = 763,994,644.65 × 510,085,590.30
  4. Step 4: Simplify right side
    510,085,590.30x = 389,702,659,302,333,952
  5. Step 5: Solve for x
    x = 389,702,659,302,333,952/510,085,590.30
  6. Step 6: Final answer
    x = 763,994,644.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.