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Finding the Fourth Proportional to 472,393,075.70, 708,589,613.55 and 414,997,447.70

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Solution

The fourth proportional to 472,393,075.70, 708,589,613.55 and 414,997,447.70 is: 622,496,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,075.70 : 708,589,613.55 = 414,997,447.70 : x
  2. Step 2: Convert to fraction form
    472,393,075.70/708,589,613.55 = 414,997,447.70/x
  3. Step 3: Cross multiply
    472,393,075.70x = 708,589,613.55 × 414,997,447.70
  4. Step 4: Simplify right side
    472,393,075.70x = 294,062,881,089,979,328
  5. Step 5: Solve for x
    x = 294,062,881,089,979,328/472,393,075.70
  6. Step 6: Final answer
    x = 622,496,171.55

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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.