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Finding the Fourth Proportional to 401,469,534, 554,037,506.82 and 225,270,564.48

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Solution

The fourth proportional to 401,469,534, 554,037,506.82 and 225,270,564.48 is: 310,878,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,469,534 : 554,037,506.82 = 225,270,564.48 : x
  2. Step 2: Convert to fraction form
    401,469,534/554,037,506.82 = 225,270,564.48/x
  3. Step 3: Cross multiply
    401,469,534x = 554,037,506.82 × 225,270,564.48
  4. Step 4: Simplify right side
    401,469,534x = 124,808,341,904,433,248
  5. Step 5: Solve for x
    x = 124,808,341,904,433,248/401,469,534
  6. Step 6: Final answer
    x = 310,878,737.57

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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.