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Finding the Fourth Proportional to 556,188,970.80, 837,612,908.44 and 506,543,153.84

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Solution

The fourth proportional to 556,188,970.80, 837,612,908.44 and 506,543,153.84 is: 762,846,993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,188,970.80 : 837,612,908.44 = 506,543,153.84 : x
  2. Step 2: Convert to fraction form
    556,188,970.80/837,612,908.44 = 506,543,153.84/x
  3. Step 3: Cross multiply
    556,188,970.80x = 837,612,908.44 × 506,543,153.84
  4. Step 4: Simplify right side
    556,188,970.80x = 424,287,084,336,699,648
  5. Step 5: Solve for x
    x = 424,287,084,336,699,648/556,188,970.80
  6. Step 6: Final answer
    x = 762,846,993.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.