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Finding the Fourth Proportional to 865,754,347.80, 1,194,708,992.35 and 469,268,824.69

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Solution

The fourth proportional to 865,754,347.80, 1,194,708,992.35 and 469,268,824.69 is: 647,573,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,347.80 : 1,194,708,992.35 = 469,268,824.69 : x
  2. Step 2: Convert to fraction form
    865,754,347.80/1,194,708,992.35 = 469,268,824.69/x
  3. Step 3: Cross multiply
    865,754,347.80x = 1,194,708,992.35 × 469,268,824.69
  4. Step 4: Simplify right side
    865,754,347.80x = 560,639,684,686,658,624
  5. Step 5: Solve for x
    x = 560,639,684,686,658,624/865,754,347.80
  6. Step 6: Final answer
    x = 647,573,628.84

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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.