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Finding the Fourth Proportional to 459,545,673.60, 689,654,433.60 and 323,496,777.60

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Solution

The fourth proportional to 459,545,673.60, 689,654,433.60 and 323,496,777.60 is: 485,481,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,545,673.60 : 689,654,433.60 = 323,496,777.60 : x
  2. Step 2: Convert to fraction form
    459,545,673.60/689,654,433.60 = 323,496,777.60/x
  3. Step 3: Cross multiply
    459,545,673.60x = 689,654,433.60 × 323,496,777.60
  4. Step 4: Simplify right side
    459,545,673.60x = 223,100,986,927,153,184
  5. Step 5: Solve for x
    x = 223,100,986,927,153,184/459,545,673.60
  6. Step 6: Final answer
    x = 485,481,639.24

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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.