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Finding the Fourth Proportional to 72,130,191,175.20, 100,775,876,431.20 and 72,130,191,175.20

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Solution

The fourth proportional to 72,130,191,175.20, 100,775,876,431.20 and 72,130,191,175.20 is: 100,775,876,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,130,191,175.20 : 100,775,876,431.20 = 72,130,191,175.20 : x
  2. Step 2: Convert to fraction form
    72,130,191,175.20/100,775,876,431.20 = 72,130,191,175.20/x
  3. Step 3: Cross multiply
    72,130,191,175.20x = 100,775,876,431.20 × 72,130,191,175.20
  4. Step 4: Simplify right side
    72,130,191,175.20x = 7,268,983,232,830,787,026,944
  5. Step 5: Solve for x
    x = 7,268,983,232,830,787,026,944/72,130,191,175.20
  6. Step 6: Final answer
    x = 100,775,876,431.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.