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Finding the Fourth Proportional to 505,472,467.80, 758,208,701.70 and 471,460,243.80

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Solution

The fourth proportional to 505,472,467.80, 758,208,701.70 and 471,460,243.80 is: 707,190,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,472,467.80 : 758,208,701.70 = 471,460,243.80 : x
  2. Step 2: Convert to fraction form
    505,472,467.80/758,208,701.70 = 471,460,243.80/x
  3. Step 3: Cross multiply
    505,472,467.80x = 758,208,701.70 × 471,460,243.80
  4. Step 4: Simplify right side
    505,472,467.80x = 357,465,259,354,763,520
  5. Step 5: Solve for x
    x = 357,465,259,354,763,520/505,472,467.80
  6. Step 6: Final answer
    x = 707,190,365.70

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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.