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Finding the Fourth Proportional to 1,269,896,543.78, 1,752,061,865.78 and 733,852,922.19

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Solution

The fourth proportional to 1,269,896,543.78, 1,752,061,865.78 and 733,852,922.19 is: 1,012,488,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,896,543.78 : 1,752,061,865.78 = 733,852,922.19 : x
  2. Step 2: Convert to fraction form
    1,269,896,543.78/1,752,061,865.78 = 733,852,922.19/x
  3. Step 3: Cross multiply
    1,269,896,543.78x = 1,752,061,865.78 × 733,852,922.19
  4. Step 4: Simplify right side
    1,269,896,543.78x = 1,285,755,720,060,316,672
  5. Step 5: Solve for x
    x = 1,285,755,720,060,316,672/1,269,896,543.78
  6. Step 6: Final answer
    x = 1,012,488,557.72

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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.