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Finding the Fourth Proportional to 979,896,873.70, 1,469,845,310.55 and 735,008,860.90

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Solution

The fourth proportional to 979,896,873.70, 1,469,845,310.55 and 735,008,860.90 is: 1,102,513,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,896,873.70 : 1,469,845,310.55 = 735,008,860.90 : x
  2. Step 2: Convert to fraction form
    979,896,873.70/1,469,845,310.55 = 735,008,860.90/x
  3. Step 3: Cross multiply
    979,896,873.70x = 1,469,845,310.55 × 735,008,860.90
  4. Step 4: Simplify right side
    979,896,873.70x = 1,080,349,327,406,562,176
  5. Step 5: Solve for x
    x = 1,080,349,327,406,562,176/979,896,873.70
  6. Step 6: Final answer
    x = 1,102,513,291.35

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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.