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Finding the Fourth Proportional to 357,494,685.84, 493,383,998.34 and 208,852,963.92

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Solution

The fourth proportional to 357,494,685.84, 493,383,998.34 and 208,852,963.92 is: 288,241,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,494,685.84 : 493,383,998.34 = 208,852,963.92 : x
  2. Step 2: Convert to fraction form
    357,494,685.84/493,383,998.34 = 208,852,963.92/x
  3. Step 3: Cross multiply
    357,494,685.84x = 493,383,998.34 × 208,852,963.92
  4. Step 4: Simplify right side
    357,494,685.84x = 103,044,710,404,009,344
  5. Step 5: Solve for x
    x = 103,044,710,404,009,344/357,494,685.84
  6. Step 6: Final answer
    x = 288,241,236.82

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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.