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Finding the Fourth Proportional to 543,027,834,064.05, 814,541,751,096.07 and 543,027,834,064.05

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Solution

The fourth proportional to 543,027,834,064.05, 814,541,751,096.07 and 543,027,834,064.05 is: 814,541,751,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,027,834,064.05 : 814,541,751,096.07 = 543,027,834,064.05 : x
  2. Step 2: Convert to fraction form
    543,027,834,064.05/814,541,751,096.07 = 543,027,834,064.05/x
  3. Step 3: Cross multiply
    543,027,834,064.05x = 814,541,751,096.07 × 543,027,834,064.05
  4. Step 4: Simplify right side
    543,027,834,064.05x = 442,318,842,852,437,403,893,760
  5. Step 5: Solve for x
    x = 442,318,842,852,437,403,893,760/543,027,834,064.05
  6. Step 6: Final answer
    x = 814,541,751,096.07

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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.