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Finding the Fourth Proportional to 591,389,994.92, 816,369,491.12 and 368,481,809.16

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Solution

The fourth proportional to 591,389,994.92, 816,369,491.12 and 368,481,809.16 is: 508,661,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,389,994.92 : 816,369,491.12 = 368,481,809.16 : x
  2. Step 2: Convert to fraction form
    591,389,994.92/816,369,491.12 = 368,481,809.16/x
  3. Step 3: Cross multiply
    591,389,994.92x = 816,369,491.12 × 368,481,809.16
  4. Step 4: Simplify right side
    591,389,994.92x = 300,817,307,032,413,952
  5. Step 5: Solve for x
    x = 300,817,307,032,413,952/591,389,994.92
  6. Step 6: Final answer
    x = 508,661,474.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.