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Finding the Fourth Proportional to 421,878,338.16, 582,185,780.28 and 233,706,036.48

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Solution

The fourth proportional to 421,878,338.16, 582,185,780.28 and 233,706,036.48 is: 322,510,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,878,338.16 : 582,185,780.28 = 233,706,036.48 : x
  2. Step 2: Convert to fraction form
    421,878,338.16/582,185,780.28 = 233,706,036.48/x
  3. Step 3: Cross multiply
    421,878,338.16x = 582,185,780.28 × 233,706,036.48
  4. Step 4: Simplify right side
    421,878,338.16x = 136,060,331,204,254,928
  5. Step 5: Solve for x
    x = 136,060,331,204,254,928/421,878,338.16
  6. Step 6: Final answer
    x = 322,510,825.75

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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.