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Finding the Fourth Proportional to 911,043,674.75, 1,257,241,483.64 and 493,356,680.39

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Solution

The fourth proportional to 911,043,674.75, 1,257,241,483.64 and 493,356,680.39 is: 680,832,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,043,674.75 : 1,257,241,483.64 = 493,356,680.39 : x
  2. Step 2: Convert to fraction form
    911,043,674.75/1,257,241,483.64 = 493,356,680.39/x
  3. Step 3: Cross multiply
    911,043,674.75x = 1,257,241,483.64 × 493,356,680.39
  4. Step 4: Simplify right side
    911,043,674.75x = 620,268,484,821,605,376
  5. Step 5: Solve for x
    x = 620,268,484,821,605,376/911,043,674.75
  6. Step 6: Final answer
    x = 680,832,875.54

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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.