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Finding the Fourth Proportional to 865,754,333.30, 1,194,708,972.25 and 469,268,810.24

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Solution

The fourth proportional to 865,754,333.30, 1,194,708,972.25 and 469,268,810.24 is: 647,573,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,333.30 : 1,194,708,972.25 = 469,268,810.24 : x
  2. Step 2: Convert to fraction form
    865,754,333.30/1,194,708,972.25 = 469,268,810.24/x
  3. Step 3: Cross multiply
    865,754,333.30x = 1,194,708,972.25 × 469,268,810.24
  4. Step 4: Simplify right side
    865,754,333.30x = 560,639,657,985,447,232
  5. Step 5: Solve for x
    x = 560,639,657,985,447,232/865,754,333.30
  6. Step 6: Final answer
    x = 647,573,608.84

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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.