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Finding the Fourth Proportional to 865,754,334.30, 1,194,708,973.63 and 469,268,811.24

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Solution

The fourth proportional to 865,754,334.30, 1,194,708,973.63 and 469,268,811.24 is: 647,573,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,334.30 : 1,194,708,973.63 = 469,268,811.24 : x
  2. Step 2: Convert to fraction form
    865,754,334.30/1,194,708,973.63 = 469,268,811.24/x
  3. Step 3: Cross multiply
    865,754,334.30x = 1,194,708,973.63 × 469,268,811.24
  4. Step 4: Simplify right side
    865,754,334.30x = 560,639,659,833,110,656
  5. Step 5: Solve for x
    x = 560,639,659,833,110,656/865,754,334.30
  6. Step 6: Final answer
    x = 647,573,610.23

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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.