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Finding the Fourth Proportional to 556,720,512,014.05, 835,080,768,021.05 and 556,720,512,014.05

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Solution

The fourth proportional to 556,720,512,014.05, 835,080,768,021.05 and 556,720,512,014.05 is: 835,080,768,021.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,720,512,014.05 : 835,080,768,021.05 = 556,720,512,014.05 : x
  2. Step 2: Convert to fraction form
    556,720,512,014.05/835,080,768,021.05 = 556,720,512,014.05/x
  3. Step 3: Cross multiply
    556,720,512,014.05x = 835,080,768,021.05 × 556,720,512,014.05
  4. Step 4: Simplify right side
    556,720,512,014.05x = 464,906,592,745,765,153,538,048
  5. Step 5: Solve for x
    x = 464,906,592,745,765,153,538,048/556,720,512,014.05
  6. Step 6: Final answer
    x = 835,080,768,021.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.