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Finding the Fourth Proportional to 541,101,205.40, 811,651,808.10 and 541,101,205.40

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Solution

The fourth proportional to 541,101,205.40, 811,651,808.10 and 541,101,205.40 is: 811,651,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,101,205.40 : 811,651,808.10 = 541,101,205.40 : x
  2. Step 2: Convert to fraction form
    541,101,205.40/811,651,808.10 = 541,101,205.40/x
  3. Step 3: Cross multiply
    541,101,205.40x = 811,651,808.10 × 541,101,205.40
  4. Step 4: Simplify right side
    541,101,205.40x = 439,185,771,727,999,488
  5. Step 5: Solve for x
    x = 439,185,771,727,999,488/541,101,205.40
  6. Step 6: Final answer
    x = 811,651,808.10

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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.