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Finding the Fourth Proportional to 446,672,802.80, 670,009,204.20 and 343,360,672.40

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Solution

The fourth proportional to 446,672,802.80, 670,009,204.20 and 343,360,672.40 is: 515,041,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,672,802.80 : 670,009,204.20 = 343,360,672.40 : x
  2. Step 2: Convert to fraction form
    446,672,802.80/670,009,204.20 = 343,360,672.40/x
  3. Step 3: Cross multiply
    446,672,802.80x = 670,009,204.20 × 343,360,672.40
  4. Step 4: Simplify right side
    446,672,802.80x = 230,054,810,868,300,896
  5. Step 5: Solve for x
    x = 230,054,810,868,300,896/446,672,802.80
  6. Step 6: Final answer
    x = 515,041,008.60

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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.