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Finding the Fourth Proportional to 466,356,671.60, 699,535,007.40 and 413,952,652.40

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Solution

The fourth proportional to 466,356,671.60, 699,535,007.40 and 413,952,652.40 is: 620,928,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,356,671.60 : 699,535,007.40 = 413,952,652.40 : x
  2. Step 2: Convert to fraction form
    466,356,671.60/699,535,007.40 = 413,952,652.40/x
  3. Step 3: Cross multiply
    466,356,671.60x = 699,535,007.40 × 413,952,652.40
  4. Step 4: Simplify right side
    466,356,671.60x = 289,574,371,759,883,584
  5. Step 5: Solve for x
    x = 289,574,371,759,883,584/466,356,671.60
  6. Step 6: Final answer
    x = 620,928,978.60

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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.