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Finding the Fourth Proportional to 442,672,809.60, 662,814,820.80 and 442,672,809.60

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Solution

The fourth proportional to 442,672,809.60, 662,814,820.80 and 442,672,809.60 is: 662,814,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,672,809.60 : 662,814,820.80 = 442,672,809.60 : x
  2. Step 2: Convert to fraction form
    442,672,809.60/662,814,820.80 = 442,672,809.60/x
  3. Step 3: Cross multiply
    442,672,809.60x = 662,814,820.80 × 442,672,809.60
  4. Step 4: Simplify right side
    442,672,809.60x = 293,410,098,968,056,512
  5. Step 5: Solve for x
    x = 293,410,098,968,056,512/442,672,809.60
  6. Step 6: Final answer
    x = 662,814,820.80

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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.