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Finding the Fourth Proportional to 870,188,558.64, 1,200,823,428.24 and 473,703,294.84

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Solution

The fourth proportional to 870,188,558.64, 1,200,823,428.24 and 473,703,294.84 is: 653,690,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,188,558.64 : 1,200,823,428.24 = 473,703,294.84 : x
  2. Step 2: Convert to fraction form
    870,188,558.64/1,200,823,428.24 = 473,703,294.84/x
  3. Step 3: Cross multiply
    870,188,558.64x = 1,200,823,428.24 × 473,703,294.84
  4. Step 4: Simplify right side
    870,188,558.64x = 568,834,014,478,352,256
  5. Step 5: Solve for x
    x = 568,834,014,478,352,256/870,188,558.64
  6. Step 6: Final answer
    x = 653,690,523.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.