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Finding the Fourth Proportional to 600,255,601.88, 900,428,812.80 and 185,774,344.68

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Solution

The fourth proportional to 600,255,601.88, 900,428,812.80 and 185,774,344.68 is: 278,675,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,255,601.88 : 900,428,812.80 = 185,774,344.68 : x
  2. Step 2: Convert to fraction form
    600,255,601.88/900,428,812.80 = 185,774,344.68/x
  3. Step 3: Cross multiply
    600,255,601.88x = 900,428,812.80 × 185,774,344.68
  4. Step 4: Simplify right side
    600,255,601.88x = 167,276,572,628,910,400
  5. Step 5: Solve for x
    x = 167,276,572,628,910,400/600,255,601.88
  6. Step 6: Final answer
    x = 278,675,571.05

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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.