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Finding the Fourth Proportional to 251,404,438,510.80, 377,106,657,766.20 and 251,404,438,510.80

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Solution

The fourth proportional to 251,404,438,510.80, 377,106,657,766.20 and 251,404,438,510.80 is: 377,106,657,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,404,438,510.80 : 377,106,657,766.20 = 251,404,438,510.80 : x
  2. Step 2: Convert to fraction form
    251,404,438,510.80/377,106,657,766.20 = 251,404,438,510.80/x
  3. Step 3: Cross multiply
    251,404,438,510.80x = 377,106,657,766.20 × 251,404,438,510.80
  4. Step 4: Simplify right side
    251,404,438,510.80x = 94,806,287,554,395,919,876,096
  5. Step 5: Solve for x
    x = 94,806,287,554,395,919,876,096/251,404,438,510.80
  6. Step 6: Final answer
    x = 377,106,657,766.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.