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Finding the Fourth Proportional to 647,891,403.40, 971,837,105.10 and 598,006,808.20

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Solution

The fourth proportional to 647,891,403.40, 971,837,105.10 and 598,006,808.20 is: 897,010,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,891,403.40 : 971,837,105.10 = 598,006,808.20 : x
  2. Step 2: Convert to fraction form
    647,891,403.40/971,837,105.10 = 598,006,808.20/x
  3. Step 3: Cross multiply
    647,891,403.40x = 971,837,105.10 × 598,006,808.20
  4. Step 4: Simplify right side
    647,891,403.40x = 581,165,205,311,179,008
  5. Step 5: Solve for x
    x = 581,165,205,311,179,008/647,891,403.40
  6. Step 6: Final answer
    x = 897,010,212.30

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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.