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Finding the Fourth Proportional to 865,759,298.25, 1,194,715,811.70 and 469,273,775.07

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Solution

The fourth proportional to 865,759,298.25, 1,194,715,811.70 and 469,273,775.07 is: 647,580,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,759,298.25 : 1,194,715,811.70 = 469,273,775.07 : x
  2. Step 2: Convert to fraction form
    865,759,298.25/1,194,715,811.70 = 469,273,775.07/x
  3. Step 3: Cross multiply
    865,759,298.25x = 1,194,715,811.70 × 469,273,775.07
  4. Step 4: Simplify right side
    865,759,298.25x = 560,648,799,092,278,272
  5. Step 5: Solve for x
    x = 560,648,799,092,278,272/865,759,298.25
  6. Step 6: Final answer
    x = 647,580,453.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.