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Finding the Fourth Proportional to 893,641,942.83, 1,233,237,230.55 and 491,801,957.76

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Solution

The fourth proportional to 893,641,942.83, 1,233,237,230.55 and 491,801,957.76 is: 678,692,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,641,942.83 : 1,233,237,230.55 = 491,801,957.76 : x
  2. Step 2: Convert to fraction form
    893,641,942.83/1,233,237,230.55 = 491,801,957.76/x
  3. Step 3: Cross multiply
    893,641,942.83x = 1,233,237,230.55 × 491,801,957.76
  4. Step 4: Simplify right side
    893,641,942.83x = 606,508,484,367,010,432
  5. Step 5: Solve for x
    x = 606,508,484,367,010,432/893,641,942.83
  6. Step 6: Final answer
    x = 678,692,947.70

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