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Finding the Fourth Proportional to 594,435,382.80, 891,653,074.20 and 206,129,158.80

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Solution

The fourth proportional to 594,435,382.80, 891,653,074.20 and 206,129,158.80 is: 309,193,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,435,382.80 : 891,653,074.20 = 206,129,158.80 : x
  2. Step 2: Convert to fraction form
    594,435,382.80/891,653,074.20 = 206,129,158.80/x
  3. Step 3: Cross multiply
    594,435,382.80x = 891,653,074.20 × 206,129,158.80
  4. Step 4: Simplify right side
    594,435,382.80x = 183,795,698,126,280,000
  5. Step 5: Solve for x
    x = 183,795,698,126,280,000/594,435,382.80
  6. Step 6: Final answer
    x = 309,193,738.20

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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.