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Finding the Fourth Proportional to 466,494,929.09, 699,745,009.31 and 155,601,691.80

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Solution

The fourth proportional to 466,494,929.09, 699,745,009.31 and 155,601,691.80 is: 233,403,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,494,929.09 : 699,745,009.31 = 155,601,691.80 : x
  2. Step 2: Convert to fraction form
    466,494,929.09/699,745,009.31 = 155,601,691.80/x
  3. Step 3: Cross multiply
    466,494,929.09x = 699,745,009.31 × 155,601,691.80
  4. Step 4: Simplify right side
    466,494,929.09x = 108,881,507,277,631,760
  5. Step 5: Solve for x
    x = 108,881,507,277,631,760/466,494,929.09
  6. Step 6: Final answer
    x = 233,403,410.17

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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.