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Finding the Fourth Proportional to 497,872,686.80, 746,809,030.20 and 268,290,174.80

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Solution

The fourth proportional to 497,872,686.80, 746,809,030.20 and 268,290,174.80 is: 402,435,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,872,686.80 : 746,809,030.20 = 268,290,174.80 : x
  2. Step 2: Convert to fraction form
    497,872,686.80/746,809,030.20 = 268,290,174.80/x
  3. Step 3: Cross multiply
    497,872,686.80x = 746,809,030.20 × 268,290,174.80
  4. Step 4: Simplify right side
    497,872,686.80x = 200,361,525,254,576,512
  5. Step 5: Solve for x
    x = 200,361,525,254,576,512/497,872,686.80
  6. Step 6: Final answer
    x = 402,435,262.20

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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.