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Finding the Fourth Proportional to 362,595,846.80, 542,736,409.80 and 286,068,342.80

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Solution

The fourth proportional to 362,595,846.80, 542,736,409.80 and 286,068,342.80 is: 428,189,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,595,846.80 : 542,736,409.80 = 286,068,342.80 : x
  2. Step 2: Convert to fraction form
    362,595,846.80/542,736,409.80 = 286,068,342.80/x
  3. Step 3: Cross multiply
    362,595,846.80x = 542,736,409.80 × 286,068,342.80
  4. Step 4: Simplify right side
    362,595,846.80x = 155,259,705,328,707,680
  5. Step 5: Solve for x
    x = 155,259,705,328,707,680/362,595,846.80
  6. Step 6: Final answer
    x = 428,189,419.98

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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.