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Finding the Fourth Proportional to 468,495,687.32, 646,147,069.18 and 411,859,336.51

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Solution

The fourth proportional to 468,495,687.32, 646,147,069.18 and 411,859,336.51 is: 568,034,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,495,687.32 : 646,147,069.18 = 411,859,336.51 : x
  2. Step 2: Convert to fraction form
    468,495,687.32/646,147,069.18 = 411,859,336.51/x
  3. Step 3: Cross multiply
    468,495,687.32x = 646,147,069.18 × 411,859,336.51
  4. Step 4: Simplify right side
    468,495,687.32x = 266,121,703,197,125,120
  5. Step 5: Solve for x
    x = 266,121,703,197,125,120/468,495,687.32
  6. Step 6: Final answer
    x = 568,034,478.02

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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.