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Finding the Fourth Proportional to 409,698,847.80, 614,548,271.70 and 362,347,454.70

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Solution

The fourth proportional to 409,698,847.80, 614,548,271.70 and 362,347,454.70 is: 543,521,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,698,847.80 : 614,548,271.70 = 362,347,454.70 : x
  2. Step 2: Convert to fraction form
    409,698,847.80/614,548,271.70 = 362,347,454.70/x
  3. Step 3: Cross multiply
    409,698,847.80x = 614,548,271.70 × 362,347,454.70
  4. Step 4: Simplify right side
    409,698,847.80x = 222,680,002,040,779,040
  5. Step 5: Solve for x
    x = 222,680,002,040,779,040/409,698,847.80
  6. Step 6: Final answer
    x = 543,521,182.05

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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.