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Finding the Fourth Proportional to 534,362,431.80, 801,543,647.70 and 319,371,583.80

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Solution

The fourth proportional to 534,362,431.80, 801,543,647.70 and 319,371,583.80 is: 479,057,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,362,431.80 : 801,543,647.70 = 319,371,583.80 : x
  2. Step 2: Convert to fraction form
    534,362,431.80/801,543,647.70 = 319,371,583.80/x
  3. Step 3: Cross multiply
    534,362,431.80x = 801,543,647.70 × 319,371,583.80
  4. Step 4: Simplify right side
    534,362,431.80x = 255,990,264,250,778,240
  5. Step 5: Solve for x
    x = 255,990,264,250,778,240/534,362,431.80
  6. Step 6: Final answer
    x = 479,057,375.70

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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.