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Finding the Fourth Proportional to 559,315,773,025.78, 838,973,659,538.66 and 559,315,773,025.78

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Solution

The fourth proportional to 559,315,773,025.78, 838,973,659,538.66 and 559,315,773,025.78 is: 838,973,659,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,315,773,025.78 : 838,973,659,538.66 = 559,315,773,025.78 : x
  2. Step 2: Convert to fraction form
    559,315,773,025.78/838,973,659,538.66 = 559,315,773,025.78/x
  3. Step 3: Cross multiply
    559,315,773,025.78x = 838,973,659,538.66 × 559,315,773,025.78
  4. Step 4: Simplify right side
    559,315,773,025.78x = 469,251,200,933,133,230,800,896
  5. Step 5: Solve for x
    x = 469,251,200,933,133,230,800,896/559,315,773,025.78
  6. Step 6: Final answer
    x = 838,973,659,538.66

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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.