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Finding the Fourth Proportional to 662,360,408.82, 914,063,409.09 and 365,013,319.77

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Solution

The fourth proportional to 662,360,408.82, 914,063,409.09 and 365,013,319.77 is: 503,721,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,360,408.82 : 914,063,409.09 = 365,013,319.77 : x
  2. Step 2: Convert to fraction form
    662,360,408.82/914,063,409.09 = 365,013,319.77/x
  3. Step 3: Cross multiply
    662,360,408.82x = 914,063,409.09 × 365,013,319.77
  4. Step 4: Simplify right side
    662,360,408.82x = 333,645,319,432,224,512
  5. Step 5: Solve for x
    x = 333,645,319,432,224,512/662,360,408.82
  6. Step 6: Final answer
    x = 503,721,712.51

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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.