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Finding the Fourth Proportional to 100,205,718.45, 150,308,577.68 and 100,205,718.45

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Solution

The fourth proportional to 100,205,718.45, 150,308,577.68 and 100,205,718.45 is: 150,308,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,205,718.45 : 150,308,577.68 = 100,205,718.45 : x
  2. Step 2: Convert to fraction form
    100,205,718.45/150,308,577.68 = 100,205,718.45/x
  3. Step 3: Cross multiply
    100,205,718.45x = 150,308,577.68 × 100,205,718.45
  4. Step 4: Simplify right side
    100,205,718.45x = 15,061,779,015,121,008
  5. Step 5: Solve for x
    x = 15,061,779,015,121,008/100,205,718.45
  6. Step 6: Final answer
    x = 150,308,577.68

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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.