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Finding the Fourth Proportional to 664,299,327.60, 996,448,991.40 and 319,169,732.40

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Solution

The fourth proportional to 664,299,327.60, 996,448,991.40 and 319,169,732.40 is: 478,754,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,299,327.60 : 996,448,991.40 = 319,169,732.40 : x
  2. Step 2: Convert to fraction form
    664,299,327.60/996,448,991.40 = 319,169,732.40/x
  3. Step 3: Cross multiply
    664,299,327.60x = 996,448,991.40 × 319,169,732.40
  4. Step 4: Simplify right side
    664,299,327.60x = 318,036,357,935,387,840
  5. Step 5: Solve for x
    x = 318,036,357,935,387,840/664,299,327.60
  6. Step 6: Final answer
    x = 478,754,598.60

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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.