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Finding the Fourth Proportional to 482,322,689.80, 723,484,034.70 and 252,362,264.20

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Solution

The fourth proportional to 482,322,689.80, 723,484,034.70 and 252,362,264.20 is: 378,543,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,322,689.80 : 723,484,034.70 = 252,362,264.20 : x
  2. Step 2: Convert to fraction form
    482,322,689.80/723,484,034.70 = 252,362,264.20/x
  3. Step 3: Cross multiply
    482,322,689.80x = 723,484,034.70 × 252,362,264.20
  4. Step 4: Simplify right side
    482,322,689.80x = 182,580,069,109,443,360
  5. Step 5: Solve for x
    x = 182,580,069,109,443,360/482,322,689.80
  6. Step 6: Final answer
    x = 378,543,396.30

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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.