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Finding the Fourth Proportional to 673,649,732.34, 929,638,071.36 and 380,294,300.34

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Solution

The fourth proportional to 673,649,732.34, 929,638,071.36 and 380,294,300.34 is: 524,806,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,649,732.34 : 929,638,071.36 = 380,294,300.34 : x
  2. Step 2: Convert to fraction form
    673,649,732.34/929,638,071.36 = 380,294,300.34/x
  3. Step 3: Cross multiply
    673,649,732.34x = 929,638,071.36 × 380,294,300.34
  4. Step 4: Simplify right side
    673,649,732.34x = 353,536,059,917,278,144
  5. Step 5: Solve for x
    x = 353,536,059,917,278,144/673,649,732.34
  6. Step 6: Final answer
    x = 524,806,947.80

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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.