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Finding the Fourth Proportional to 559,872,082.30, 839,808,123.45 and 509,707,551.10

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Solution

The fourth proportional to 559,872,082.30, 839,808,123.45 and 509,707,551.10 is: 764,561,326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,082.30 : 839,808,123.45 = 509,707,551.10 : x
  2. Step 2: Convert to fraction form
    559,872,082.30/839,808,123.45 = 509,707,551.10/x
  3. Step 3: Cross multiply
    559,872,082.30x = 839,808,123.45 × 509,707,551.10
  4. Step 4: Simplify right side
    559,872,082.30x = 428,056,541,997,586,048
  5. Step 5: Solve for x
    x = 428,056,541,997,586,048/559,872,082.30
  6. Step 6: Final answer
    x = 764,561,326.65

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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.