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Finding the Fourth Proportional to 446,673,873.30, 670,010,809.95 and 343,361,742.90

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Solution

The fourth proportional to 446,673,873.30, 670,010,809.95 and 343,361,742.90 is: 515,042,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,673,873.30 : 670,010,809.95 = 343,361,742.90 : x
  2. Step 2: Convert to fraction form
    446,673,873.30/670,010,809.95 = 343,361,742.90/x
  3. Step 3: Cross multiply
    446,673,873.30x = 670,010,809.95 × 343,361,742.90
  4. Step 4: Simplify right side
    446,673,873.30x = 230,056,079,466,272,672
  5. Step 5: Solve for x
    x = 230,056,079,466,272,672/446,673,873.30
  6. Step 6: Final answer
    x = 515,042,614.35

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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.