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Finding the Fourth Proportional to 971,837,163.10, 1,457,755,744.65 and 897,010,270.30

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Solution

The fourth proportional to 971,837,163.10, 1,457,755,744.65 and 897,010,270.30 is: 1,345,515,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,837,163.10 : 1,457,755,744.65 = 897,010,270.30 : x
  2. Step 2: Convert to fraction form
    971,837,163.10/1,457,755,744.65 = 897,010,270.30/x
  3. Step 3: Cross multiply
    971,837,163.10x = 1,457,755,744.65 × 897,010,270.30
  4. Step 4: Simplify right side
    971,837,163.10x = 1,307,621,874,539,874,304
  5. Step 5: Solve for x
    x = 1,307,621,874,539,874,304/971,837,163.10
  6. Step 6: Final answer
    x = 1,345,515,405.45

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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.