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Finding the Fourth Proportional to 377,106,657,773.20, 565,659,986,659.80 and 377,106,657,773.20

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Solution

The fourth proportional to 377,106,657,773.20, 565,659,986,659.80 and 377,106,657,773.20 is: 565,659,986,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,106,657,773.20 : 565,659,986,659.80 = 377,106,657,773.20 : x
  2. Step 2: Convert to fraction form
    377,106,657,773.20/565,659,986,659.80 = 377,106,657,773.20/x
  3. Step 3: Cross multiply
    377,106,657,773.20x = 565,659,986,659.80 × 377,106,657,773.20
  4. Step 4: Simplify right side
    377,106,657,773.20x = 213,314,147,005,310,093,492,224
  5. Step 5: Solve for x
    x = 213,314,147,005,310,093,492,224/377,106,657,773.20
  6. Step 6: Final answer
    x = 565,659,986,659.80

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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.