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Finding the Fourth Proportional to 670,889,415.54, 1,005,024,949.29 and 522,642,836.64

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Solution

The fourth proportional to 670,889,415.54, 1,005,024,949.29 and 522,642,836.64 is: 782,944,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,889,415.54 : 1,005,024,949.29 = 522,642,836.64 : x
  2. Step 2: Convert to fraction form
    670,889,415.54/1,005,024,949.29 = 522,642,836.64/x
  3. Step 3: Cross multiply
    670,889,415.54x = 1,005,024,949.29 × 522,642,836.64
  4. Step 4: Simplify right side
    670,889,415.54x = 525,269,090,390,897,728
  5. Step 5: Solve for x
    x = 525,269,090,390,897,728/670,889,415.54
  6. Step 6: Final answer
    x = 782,944,369.41

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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.