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Finding the Fourth Proportional to 768,394,507.68, 1,060,384,762.94 and 415,970,486.99

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Solution

The fourth proportional to 768,394,507.68, 1,060,384,762.94 and 415,970,486.99 is: 574,039,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,394,507.68 : 1,060,384,762.94 = 415,970,486.99 : x
  2. Step 2: Convert to fraction form
    768,394,507.68/1,060,384,762.94 = 415,970,486.99/x
  3. Step 3: Cross multiply
    768,394,507.68x = 1,060,384,762.94 × 415,970,486.99
  4. Step 4: Simplify right side
    768,394,507.68x = 441,088,766,229,545,728
  5. Step 5: Solve for x
    x = 441,088,766,229,545,728/768,394,507.68
  6. Step 6: Final answer
    x = 574,039,457.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.