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Finding the Fourth Proportional to 465,479,597.78, 698,389,649.96 and 216,603,551.07

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Solution

The fourth proportional to 465,479,597.78, 698,389,649.96 and 216,603,551.07 is: 324,984,551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,479,597.78 : 698,389,649.96 = 216,603,551.07 : x
  2. Step 2: Convert to fraction form
    465,479,597.78/698,389,649.96 = 216,603,551.07/x
  3. Step 3: Cross multiply
    465,479,597.78x = 698,389,649.96 × 216,603,551.07
  4. Step 4: Simplify right side
    465,479,597.78x = 151,273,678,210,787,264
  5. Step 5: Solve for x
    x = 151,273,678,210,787,264/465,479,597.78
  6. Step 6: Final answer
    x = 324,984,551.27

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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.