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Finding the Fourth Proportional to 508,967,881.56, 764,601,083.49 and 301,842,144.05

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Solution

The fourth proportional to 508,967,881.56, 764,601,083.49 and 301,842,144.05 is: 453,444,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,967,881.56 : 764,601,083.49 = 301,842,144.05 : x
  2. Step 2: Convert to fraction form
    508,967,881.56/764,601,083.49 = 301,842,144.05/x
  3. Step 3: Cross multiply
    508,967,881.56x = 764,601,083.49 × 301,842,144.05
  4. Step 4: Simplify right side
    508,967,881.56x = 230,788,830,380,913,152
  5. Step 5: Solve for x
    x = 230,788,830,380,913,152/508,967,881.56
  6. Step 6: Final answer
    x = 453,444,782.56

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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.