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Finding the Fourth Proportional to 497,409,433.20, 744,679,259.10 and 497,409,433.20

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Solution

The fourth proportional to 497,409,433.20, 744,679,259.10 and 497,409,433.20 is: 744,679,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,409,433.20 : 744,679,259.10 = 497,409,433.20 : x
  2. Step 2: Convert to fraction form
    497,409,433.20/744,679,259.10 = 497,409,433.20/x
  3. Step 3: Cross multiply
    497,409,433.20x = 744,679,259.10 × 497,409,433.20
  4. Step 4: Simplify right side
    497,409,433.20x = 370,410,488,184,726,976
  5. Step 5: Solve for x
    x = 370,410,488,184,726,976/497,409,433.20
  6. Step 6: Final answer
    x = 744,679,259.10

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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.