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Finding the Fourth Proportional to 505,490,178.30, 758,235,267.45 and 505,490,178.30

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Solution

The fourth proportional to 505,490,178.30, 758,235,267.45 and 505,490,178.30 is: 758,235,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,490,178.30 : 758,235,267.45 = 505,490,178.30 : x
  2. Step 2: Convert to fraction form
    505,490,178.30/758,235,267.45 = 505,490,178.30/x
  3. Step 3: Cross multiply
    505,490,178.30x = 758,235,267.45 × 505,490,178.30
  4. Step 4: Simplify right side
    505,490,178.30x = 383,280,480,536,648,704
  5. Step 5: Solve for x
    x = 383,280,480,536,648,704/505,490,178.30
  6. Step 6: Final answer
    x = 758,235,267.45

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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.