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Finding the Fourth Proportional to 873,713,257.68, 1,205,716,329 and 477,236,183.76

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Solution

The fourth proportional to 873,713,257.68, 1,205,716,329 and 477,236,183.76 is: 658,581,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,713,257.68 : 1,205,716,329 = 477,236,183.76 : x
  2. Step 2: Convert to fraction form
    873,713,257.68/1,205,716,329 = 477,236,183.76/x
  3. Step 3: Cross multiply
    873,713,257.68x = 1,205,716,329 × 477,236,183.76
  4. Step 4: Simplify right side
    873,713,257.68x = 575,411,459,549,076,608
  5. Step 5: Solve for x
    x = 575,411,459,549,076,608/873,713,257.68
  6. Step 6: Final answer
    x = 658,581,582.11

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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.