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Finding the Fourth Proportional to 560,869,437, 773,985,563.82 and 313,352,650.20

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Solution

The fourth proportional to 560,869,437, 773,985,563.82 and 313,352,650.20 is: 432,418,690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,869,437 : 773,985,563.82 = 313,352,650.20 : x
  2. Step 2: Convert to fraction form
    560,869,437/773,985,563.82 = 313,352,650.20/x
  3. Step 3: Cross multiply
    560,869,437x = 773,985,563.82 × 313,352,650.20
  4. Step 4: Simplify right side
    560,869,437x = 242,530,427,639,538,240
  5. Step 5: Solve for x
    x = 242,530,427,639,538,240/560,869,437
  6. Step 6: Final answer
    x = 432,418,690.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.