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Finding the Fourth Proportional to 497,611,892.70, 746,417,839.05 and 316,661,262.30

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Solution

The fourth proportional to 497,611,892.70, 746,417,839.05 and 316,661,262.30 is: 474,991,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,611,892.70 : 746,417,839.05 = 316,661,262.30 : x
  2. Step 2: Convert to fraction form
    497,611,892.70/746,417,839.05 = 316,661,262.30/x
  3. Step 3: Cross multiply
    497,611,892.70x = 746,417,839.05 × 316,661,262.30
  4. Step 4: Simplify right side
    497,611,892.70x = 236,361,615,116,811,232
  5. Step 5: Solve for x
    x = 236,361,615,116,811,232/497,611,892.70
  6. Step 6: Final answer
    x = 474,991,893.45

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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.