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Finding the Fourth Proportional to 531,761,039.84, 734,218,944 and 343,700,602.04

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Solution

The fourth proportional to 531,761,039.84, 734,218,944 and 343,700,602.04 is: 474,558,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,761,039.84 : 734,218,944 = 343,700,602.04 : x
  2. Step 2: Convert to fraction form
    531,761,039.84/734,218,944 = 343,700,602.04/x
  3. Step 3: Cross multiply
    531,761,039.84x = 734,218,944 × 343,700,602.04
  4. Step 4: Simplify right side
    531,761,039.84x = 252,351,493,081,973,056
  5. Step 5: Solve for x
    x = 252,351,493,081,973,056/531,761,039.84
  6. Step 6: Final answer
    x = 474,558,070.59

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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.