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Finding the Fourth Proportional to 510,607,590.60, 764,777,645.10 and 419,908,326.60

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Solution

The fourth proportional to 510,607,590.60, 764,777,645.10 and 419,908,326.60 is: 628,930,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,607,590.60 : 764,777,645.10 = 419,908,326.60 : x
  2. Step 2: Convert to fraction form
    510,607,590.60/764,777,645.10 = 419,908,326.60/x
  3. Step 3: Cross multiply
    510,607,590.60x = 764,777,645.10 × 419,908,326.60
  4. Step 4: Simplify right side
    510,607,590.60x = 321,136,501,175,029,696
  5. Step 5: Solve for x
    x = 321,136,501,175,029,696/510,607,590.60
  6. Step 6: Final answer
    x = 628,930,135.56

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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.