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Finding the Fourth Proportional to 325,059,642,000.68, 487,589,463,001.02 and 325,059,642,000.68

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Solution

The fourth proportional to 325,059,642,000.68, 487,589,463,001.02 and 325,059,642,000.68 is: 487,589,463,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,059,642,000.68 : 487,589,463,001.02 = 325,059,642,000.68 : x
  2. Step 2: Convert to fraction form
    325,059,642,000.68/487,589,463,001.02 = 325,059,642,000.68/x
  3. Step 3: Cross multiply
    325,059,642,000.68x = 487,589,463,001.02 × 325,059,642,000.68
  4. Step 4: Simplify right side
    325,059,642,000.68x = 158,495,656,286,415,367,438,336
  5. Step 5: Solve for x
    x = 158,495,656,286,415,367,438,336/325,059,642,000.68
  6. Step 6: Final answer
    x = 487,589,463,001.02

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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.