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Finding the Fourth Proportional to 251,404,438,515.80, 377,106,657,773.70 and 251,404,438,515.80

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Solution

The fourth proportional to 251,404,438,515.80, 377,106,657,773.70 and 251,404,438,515.80 is: 377,106,657,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,404,438,515.80 : 377,106,657,773.70 = 251,404,438,515.80 : x
  2. Step 2: Convert to fraction form
    251,404,438,515.80/377,106,657,773.70 = 251,404,438,515.80/x
  3. Step 3: Cross multiply
    251,404,438,515.80x = 377,106,657,773.70 × 251,404,438,515.80
  4. Step 4: Simplify right side
    251,404,438,515.80x = 94,806,287,558,166,985,048,064
  5. Step 5: Solve for x
    x = 94,806,287,558,166,985,048,064/251,404,438,515.80
  6. Step 6: Final answer
    x = 377,106,657,773.70

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Why These Related Problems?

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