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Finding the Fourth Proportional to 537,628,104,633.40, 806,442,156,950.10 and 537,628,104,633.40

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Solution

The fourth proportional to 537,628,104,633.40, 806,442,156,950.10 and 537,628,104,633.40 is: 806,442,156,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,628,104,633.40 : 806,442,156,950.10 = 537,628,104,633.40 : x
  2. Step 2: Convert to fraction form
    537,628,104,633.40/806,442,156,950.10 = 537,628,104,633.40/x
  3. Step 3: Cross multiply
    537,628,104,633.40x = 806,442,156,950.10 × 537,628,104,633.40
  4. Step 4: Simplify right side
    537,628,104,633.40x = 433,565,968,337,553,175,085,056
  5. Step 5: Solve for x
    x = 433,565,968,337,553,175,085,056/537,628,104,633.40
  6. Step 6: Final answer
    x = 806,442,156,950.10

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