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Finding the Fourth Proportional to 480,930,320,577.60, 721,395,480,866.40 and 480,930,320,577.60

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Solution

The fourth proportional to 480,930,320,577.60, 721,395,480,866.40 and 480,930,320,577.60 is: 721,395,480,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,930,320,577.60 : 721,395,480,866.40 = 480,930,320,577.60 : x
  2. Step 2: Convert to fraction form
    480,930,320,577.60/721,395,480,866.40 = 480,930,320,577.60/x
  3. Step 3: Cross multiply
    480,930,320,577.60x = 721,395,480,866.40 × 480,930,320,577.60
  4. Step 4: Simplify right side
    480,930,320,577.60x = 346,940,959,876,309,642,641,408
  5. Step 5: Solve for x
    x = 346,940,959,876,309,642,641,408/480,930,320,577.60
  6. Step 6: Final answer
    x = 721,395,480,866.40

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Similar ratio
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1.5x scale

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.