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Finding the Fourth Proportional to 387,102,409.20, 580,653,613.80 and 171,691,657.20

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Solution

The fourth proportional to 387,102,409.20, 580,653,613.80 and 171,691,657.20 is: 257,537,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,102,409.20 : 580,653,613.80 = 171,691,657.20 : x
  2. Step 2: Convert to fraction form
    387,102,409.20/580,653,613.80 = 171,691,657.20/x
  3. Step 3: Cross multiply
    387,102,409.20x = 580,653,613.80 × 171,691,657.20
  4. Step 4: Simplify right side
    387,102,409.20x = 99,693,381,212,490,768
  5. Step 5: Solve for x
    x = 99,693,381,212,490,768/387,102,409.20
  6. Step 6: Final answer
    x = 257,537,485.80

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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.