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Finding the Fourth Proportional to 534,988,841.77, 738,290,586.98 and 296,838,338.32

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Solution

The fourth proportional to 534,988,841.77, 738,290,586.98 and 296,838,338.32 is: 409,640,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,988,841.77 : 738,290,586.98 = 296,838,338.32 : x
  2. Step 2: Convert to fraction form
    534,988,841.77/738,290,586.98 = 296,838,338.32/x
  3. Step 3: Cross multiply
    534,988,841.77x = 738,290,586.98 × 296,838,338.32
  4. Step 4: Simplify right side
    534,988,841.77x = 219,152,951,035,201,248
  5. Step 5: Solve for x
    x = 219,152,951,035,201,248/534,988,841.77
  6. Step 6: Final answer
    x = 409,640,227.84

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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.