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Finding the Fourth Proportional to 400,934,464.40, 601,468,051.80 and 171,013,696.40

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Solution

The fourth proportional to 400,934,464.40, 601,468,051.80 and 171,013,696.40 is: 256,548,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,934,464.40 : 601,468,051.80 = 171,013,696.40 : x
  2. Step 2: Convert to fraction form
    400,934,464.40/601,468,051.80 = 171,013,696.40/x
  3. Step 3: Cross multiply
    400,934,464.40x = 601,468,051.80 × 171,013,696.40
  4. Step 4: Simplify right side
    400,934,464.40x = 102,859,274,804,824,672
  5. Step 5: Solve for x
    x = 102,859,274,804,824,672/400,934,464.40
  6. Step 6: Final answer
    x = 256,548,847.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.