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Finding the Fourth Proportional to 517,469,494.68, 714,104,205.48 and 282,520,147.86

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Solution

The fourth proportional to 517,469,494.68, 714,104,205.48 and 282,520,147.86 is: 389,875,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,469,494.68 : 714,104,205.48 = 282,520,147.86 : x
  2. Step 2: Convert to fraction form
    517,469,494.68/714,104,205.48 = 282,520,147.86/x
  3. Step 3: Cross multiply
    517,469,494.68x = 714,104,205.48 × 282,520,147.86
  4. Step 4: Simplify right side
    517,469,494.68x = 201,748,825,719,657,440
  5. Step 5: Solve for x
    x = 201,748,825,719,657,440/517,469,494.68
  6. Step 6: Final answer
    x = 389,875,785.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.