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Finding the Fourth Proportional to 497,923,277.20, 698,112,954.80 and 497,923,277.20

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Solution

The fourth proportional to 497,923,277.20, 698,112,954.80 and 497,923,277.20 is: 698,112,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,923,277.20 : 698,112,954.80 = 497,923,277.20 : x
  2. Step 2: Convert to fraction form
    497,923,277.20/698,112,954.80 = 497,923,277.20/x
  3. Step 3: Cross multiply
    497,923,277.20x = 698,112,954.80 × 497,923,277.20
  4. Step 4: Simplify right side
    497,923,277.20x = 347,606,690,309,791,424
  5. Step 5: Solve for x
    x = 347,606,690,309,791,424/497,923,277.20
  6. Step 6: Final answer
    x = 698,112,954.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.