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Finding the Fourth Proportional to 254,322,410,320.20, 380,657,118,437.10 and 254,322,410,320.20

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Solution

The fourth proportional to 254,322,410,320.20, 380,657,118,437.10 and 254,322,410,320.20 is: 380,657,118,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,322,410,320.20 : 380,657,118,437.10 = 254,322,410,320.20 : x
  2. Step 2: Convert to fraction form
    254,322,410,320.20/380,657,118,437.10 = 254,322,410,320.20/x
  3. Step 3: Cross multiply
    254,322,410,320.20x = 380,657,118,437.10 × 254,322,410,320.20
  4. Step 4: Simplify right side
    254,322,410,320.20x = 96,809,635,866,465,118,715,904
  5. Step 5: Solve for x
    x = 96,809,635,866,465,118,715,904/254,322,410,320.20
  6. Step 6: Final answer
    x = 380,657,118,437.10

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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.