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Finding the Fourth Proportional to 463,942,877.60, 695,454,640.65 and 217,858,998.03

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Solution

The fourth proportional to 463,942,877.60, 695,454,640.65 and 217,858,998.03 is: 326,572,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,942,877.60 : 695,454,640.65 = 217,858,998.03 : x
  2. Step 2: Convert to fraction form
    463,942,877.60/695,454,640.65 = 217,858,998.03/x
  3. Step 3: Cross multiply
    463,942,877.60x = 695,454,640.65 × 217,858,998.03
  4. Step 4: Simplify right side
    463,942,877.60x = 151,511,051,187,322,688
  5. Step 5: Solve for x
    x = 151,511,051,187,322,688/463,942,877.60
  6. Step 6: Final answer
    x = 326,572,641.81

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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.