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Finding the Fourth Proportional to 531,489,968.90, 797,234,953.35 and 477,920,716.10

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Solution

The fourth proportional to 531,489,968.90, 797,234,953.35 and 477,920,716.10 is: 716,881,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,489,968.90 : 797,234,953.35 = 477,920,716.10 : x
  2. Step 2: Convert to fraction form
    531,489,968.90/797,234,953.35 = 477,920,716.10/x
  3. Step 3: Cross multiply
    531,489,968.90x = 797,234,953.35 × 477,920,716.10
  4. Step 4: Simplify right side
    531,489,968.90x = 381,015,099,804,982,144
  5. Step 5: Solve for x
    x = 381,015,099,804,982,144/531,489,968.90
  6. Step 6: Final answer
    x = 716,881,074.15

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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.