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Finding the Fourth Proportional to 569,080,702.80, 784,898,076.48 and 489,830,646.24

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Solution

The fourth proportional to 569,080,702.80, 784,898,076.48 and 489,830,646.24 is: 675,593,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,080,702.80 : 784,898,076.48 = 489,830,646.24 : x
  2. Step 2: Convert to fraction form
    569,080,702.80/784,898,076.48 = 489,830,646.24/x
  3. Step 3: Cross multiply
    569,080,702.80x = 784,898,076.48 × 489,830,646.24
  4. Step 4: Simplify right side
    569,080,702.80x = 384,467,132,034,731,392
  5. Step 5: Solve for x
    x = 384,467,132,034,731,392/569,080,702.80
  6. Step 6: Final answer
    x = 675,593,338.77

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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.