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Finding the Fourth Proportional to 466,356,665.60, 699,534,998.40 and 413,952,646.40

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Solution

The fourth proportional to 466,356,665.60, 699,534,998.40 and 413,952,646.40 is: 620,928,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,356,665.60 : 699,534,998.40 = 413,952,646.40 : x
  2. Step 2: Convert to fraction form
    466,356,665.60/699,534,998.40 = 413,952,646.40/x
  3. Step 3: Cross multiply
    466,356,665.60x = 699,534,998.40 × 413,952,646.40
  4. Step 4: Simplify right side
    466,356,665.60x = 289,574,363,837,099,712
  5. Step 5: Solve for x
    x = 289,574,363,837,099,712/466,356,665.60
  6. Step 6: Final answer
    x = 620,928,969.60

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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.