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Finding the Fourth Proportional to 497,521,662.40, 746,282,493.60 and 440,126,034.40

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Solution

The fourth proportional to 497,521,662.40, 746,282,493.60 and 440,126,034.40 is: 660,189,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,521,662.40 : 746,282,493.60 = 440,126,034.40 : x
  2. Step 2: Convert to fraction form
    497,521,662.40/746,282,493.60 = 440,126,034.40/x
  3. Step 3: Cross multiply
    497,521,662.40x = 746,282,493.60 × 440,126,034.40
  4. Step 4: Simplify right side
    497,521,662.40x = 328,458,354,450,311,360
  5. Step 5: Solve for x
    x = 328,458,354,450,311,360/497,521,662.40
  6. Step 6: Final answer
    x = 660,189,051.60

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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.