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Finding the Fourth Proportional to 100,539,798.79, 150,798,404.98 and 27,766,925.23

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Solution

The fourth proportional to 100,539,798.79, 150,798,404.98 and 27,766,925.23 is: 41,647,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,539,798.79 : 150,798,404.98 = 27,766,925.23 : x
  2. Step 2: Convert to fraction form
    100,539,798.79/150,798,404.98 = 27,766,925.23/x
  3. Step 3: Cross multiply
    100,539,798.79x = 150,798,404.98 × 27,766,925.23
  4. Step 4: Simplify right side
    100,539,798.79x = 4,187,208,035,882,919.50
  5. Step 5: Solve for x
    x = 4,187,208,035,882,919.50/100,539,798.79
  6. Step 6: Final answer
    x = 41,647,268.91

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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.