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Finding the Fourth Proportional to 545,750,514,793.80, 818,625,772,190.70 and 545,750,514,793.80

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Solution

The fourth proportional to 545,750,514,793.80, 818,625,772,190.70 and 545,750,514,793.80 is: 818,625,772,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,750,514,793.80 : 818,625,772,190.70 = 545,750,514,793.80 : x
  2. Step 2: Convert to fraction form
    545,750,514,793.80/818,625,772,190.70 = 545,750,514,793.80/x
  3. Step 3: Cross multiply
    545,750,514,793.80x = 818,625,772,190.70 × 545,750,514,793.80
  4. Step 4: Simplify right side
    545,750,514,793.80x = 446,765,436,596,546,552,463,360
  5. Step 5: Solve for x
    x = 446,765,436,596,546,552,463,360/545,750,514,793.80
  6. Step 6: Final answer
    x = 818,625,772,190.70

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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.