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Finding the Fourth Proportional to 684,830,124, 1,027,029,397.44 and 224,661,062.88

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Solution

The fourth proportional to 684,830,124, 1,027,029,397.44 and 224,661,062.88 is: 336,920,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,830,124 : 1,027,029,397.44 = 224,661,062.88 : x
  2. Step 2: Convert to fraction form
    684,830,124/1,027,029,397.44 = 224,661,062.88/x
  3. Step 3: Cross multiply
    684,830,124x = 1,027,029,397.44 × 224,661,062.88
  4. Step 4: Simplify right side
    684,830,124x = 230,733,516,037,876,352
  5. Step 5: Solve for x
    x = 230,733,516,037,876,352/684,830,124
  6. Step 6: Final answer
    x = 336,920,804.08

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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.