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Finding the Fourth Proportional to 1,218,889,733.60, 1,828,334,600.40 and 851,557,714.40

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Solution

The fourth proportional to 1,218,889,733.60, 1,828,334,600.40 and 851,557,714.40 is: 1,277,336,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,889,733.60 : 1,828,334,600.40 = 851,557,714.40 : x
  2. Step 2: Convert to fraction form
    1,218,889,733.60/1,828,334,600.40 = 851,557,714.40/x
  3. Step 3: Cross multiply
    1,218,889,733.60x = 1,828,334,600.40 × 851,557,714.40
  4. Step 4: Simplify right side
    1,218,889,733.60x = 1,556,932,433,475,061,248
  5. Step 5: Solve for x
    x = 1,556,932,433,475,061,248/1,218,889,733.60
  6. Step 6: Final answer
    x = 1,277,336,571.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.