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Finding the Fourth Proportional to 834,477,903, 1,151,521,863.84 and 463,170,705.12

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Solution

The fourth proportional to 834,477,903, 1,151,521,863.84 and 463,170,705.12 is: 639,143,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,477,903 : 1,151,521,863.84 = 463,170,705.12 : x
  2. Step 2: Convert to fraction form
    834,477,903/1,151,521,863.84 = 463,170,705.12/x
  3. Step 3: Cross multiply
    834,477,903x = 1,151,521,863.84 × 463,170,705.12
  4. Step 4: Simplify right side
    834,477,903x = 533,351,193,635,869,376
  5. Step 5: Solve for x
    x = 533,351,193,635,869,376/834,477,903
  6. Step 6: Final answer
    x = 639,143,579.14

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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.