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Finding the Fourth Proportional to 497,688,843.60, 746,645,239.80 and 293,111,614.80

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Solution

The fourth proportional to 497,688,843.60, 746,645,239.80 and 293,111,614.80 is: 439,733,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,688,843.60 : 746,645,239.80 = 293,111,614.80 : x
  2. Step 2: Convert to fraction form
    497,688,843.60/746,645,239.80 = 293,111,614.80/x
  3. Step 3: Cross multiply
    497,688,843.60x = 746,645,239.80 × 293,111,614.80
  4. Step 4: Simplify right side
    497,688,843.60x = 218,850,391,920,511,232
  5. Step 5: Solve for x
    x = 218,850,391,920,511,232/497,688,843.60
  6. Step 6: Final answer
    x = 439,733,369.02

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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.