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Finding the Fourth Proportional to 533,803,492.01, 800,825,974.80 and 288,154,854.25

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Solution

The fourth proportional to 533,803,492.01, 800,825,974.80 and 288,154,854.25 is: 432,297,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,803,492.01 : 800,825,974.80 = 288,154,854.25 : x
  2. Step 2: Convert to fraction form
    533,803,492.01/800,825,974.80 = 288,154,854.25/x
  3. Step 3: Cross multiply
    533,803,492.01x = 800,825,974.80 × 288,154,854.25
  4. Step 4: Simplify right side
    533,803,492.01x = 230,761,892,045,025,536
  5. Step 5: Solve for x
    x = 230,761,892,045,025,536/533,803,492.01
  6. Step 6: Final answer
    x = 432,297,456.83

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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.