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Finding the Fourth Proportional to 702,867,663.72, 969,936,354.50 and 385,317,049.16

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Solution

The fourth proportional to 702,867,663.72, 969,936,354.50 and 385,317,049.16 is: 531,726,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,867,663.72 : 969,936,354.50 = 385,317,049.16 : x
  2. Step 2: Convert to fraction form
    702,867,663.72/969,936,354.50 = 385,317,049.16/x
  3. Step 3: Cross multiply
    702,867,663.72x = 969,936,354.50 × 385,317,049.16
  4. Step 4: Simplify right side
    702,867,663.72x = 373,733,013,988,947,712
  5. Step 5: Solve for x
    x = 373,733,013,988,947,712/702,867,663.72
  6. Step 6: Final answer
    x = 531,726,003.74

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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.