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Finding the Fourth Proportional to 250,194,625,795.20, 375,291,938,692.80 and 250,194,625,795.20

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Solution

The fourth proportional to 250,194,625,795.20, 375,291,938,692.80 and 250,194,625,795.20 is: 375,291,938,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,194,625,795.20 : 375,291,938,692.80 = 250,194,625,795.20 : x
  2. Step 2: Convert to fraction form
    250,194,625,795.20/375,291,938,692.80 = 250,194,625,795.20/x
  3. Step 3: Cross multiply
    250,194,625,795.20x = 375,291,938,692.80 × 250,194,625,795.20
  4. Step 4: Simplify right side
    250,194,625,795.20x = 93,896,026,165,200,241,557,504
  5. Step 5: Solve for x
    x = 93,896,026,165,200,241,557,504/250,194,625,795.20
  6. Step 6: Final answer
    x = 375,291,938,692.80

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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.