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Finding the Fourth Proportional to 673,638,933.12, 930,531,605.84 and 507,630,049.28

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Solution

The fourth proportional to 673,638,933.12, 930,531,605.84 and 507,630,049.28 is: 701,215,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,638,933.12 : 930,531,605.84 = 507,630,049.28 : x
  2. Step 2: Convert to fraction form
    673,638,933.12/930,531,605.84 = 507,630,049.28/x
  3. Step 3: Cross multiply
    673,638,933.12x = 930,531,605.84 × 507,630,049.28
  4. Step 4: Simplify right side
    673,638,933.12x = 472,365,804,929,156,736
  5. Step 5: Solve for x
    x = 472,365,804,929,156,736/673,638,933.12
  6. Step 6: Final answer
    x = 701,215,119.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.