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Finding the Fourth Proportional to 382,625,577,200.70, 573,938,365,801.05 and 382,625,577,200.70

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Solution

The fourth proportional to 382,625,577,200.70, 573,938,365,801.05 and 382,625,577,200.70 is: 573,938,365,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,625,577,200.70 : 573,938,365,801.05 = 382,625,577,200.70 : x
  2. Step 2: Convert to fraction form
    382,625,577,200.70/573,938,365,801.05 = 382,625,577,200.70/x
  3. Step 3: Cross multiply
    382,625,577,200.70x = 573,938,365,801.05 × 382,625,577,200.70
  4. Step 4: Simplify right side
    382,625,577,200.70x = 219,603,498,492,253,289,054,208
  5. Step 5: Solve for x
    x = 219,603,498,492,253,289,054,208/382,625,577,200.70
  6. Step 6: Final answer
    x = 573,938,365,801.05

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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.