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Finding the Fourth Proportional to 631,351,908,002.02, 947,027,862,003.03 and 631,351,908,002.02

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Solution

The fourth proportional to 631,351,908,002.02, 947,027,862,003.03 and 631,351,908,002.02 is: 947,027,862,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,351,908,002.02 : 947,027,862,003.03 = 631,351,908,002.02 : x
  2. Step 2: Convert to fraction form
    631,351,908,002.02/947,027,862,003.03 = 631,351,908,002.02/x
  3. Step 3: Cross multiply
    631,351,908,002.02x = 947,027,862,003.03 × 631,351,908,002.02
  4. Step 4: Simplify right side
    631,351,908,002.02x = 597,907,847,606,686,692,933,632
  5. Step 5: Solve for x
    x = 597,907,847,606,686,692,933,632/631,351,908,002.02
  6. Step 6: Final answer
    x = 947,027,862,003.03

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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.