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Finding the Fourth Proportional to 865,192,739.42, 1,193,959,380.80 and 468,712,892.70

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Solution

The fourth proportional to 865,192,739.42, 1,193,959,380.80 and 468,712,892.70 is: 646,820,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,192,739.42 : 1,193,959,380.80 = 468,712,892.70 : x
  2. Step 2: Convert to fraction form
    865,192,739.42/1,193,959,380.80 = 468,712,892.70/x
  3. Step 3: Cross multiply
    865,192,739.42x = 1,193,959,380.80 × 468,712,892.70
  4. Step 4: Simplify right side
    865,192,739.42x = 559,624,155,141,068,800
  5. Step 5: Solve for x
    x = 559,624,155,141,068,800/865,192,739.42
  6. Step 6: Final answer
    x = 646,820,216.63

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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.