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Finding the Fourth Proportional to 812,966,502.32, 1,121,893,771.56 and 460,542,492.57

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Solution

The fourth proportional to 812,966,502.32, 1,121,893,771.56 and 460,542,492.57 is: 635,548,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,966,502.32 : 1,121,893,771.56 = 460,542,492.57 : x
  2. Step 2: Convert to fraction form
    812,966,502.32/1,121,893,771.56 = 460,542,492.57/x
  3. Step 3: Cross multiply
    812,966,502.32x = 1,121,893,771.56 × 460,542,492.57
  4. Step 4: Simplify right side
    812,966,502.32x = 516,679,753,953,000,512
  5. Step 5: Solve for x
    x = 516,679,753,953,000,512/812,966,502.32
  6. Step 6: Final answer
    x = 635,548,638.82

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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.