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Finding the Fourth Proportional to 100,605,507.98, 150,908,073.50 and 31,523,600.02

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Solution

The fourth proportional to 100,605,507.98, 150,908,073.50 and 31,523,600.02 is: 47,285,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,605,507.98 : 150,908,073.50 = 31,523,600.02 : x
  2. Step 2: Convert to fraction form
    100,605,507.98/150,908,073.50 = 31,523,600.02/x
  3. Step 3: Cross multiply
    100,605,507.98x = 150,908,073.50 × 31,523,600.02
  4. Step 4: Simplify right side
    100,605,507.98x = 4,757,165,748,802,761
  5. Step 5: Solve for x
    x = 4,757,165,748,802,761/100,605,507.98
  6. Step 6: Final answer
    x = 47,285,340.98

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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.