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Finding the Fourth Proportional to 580,877,009.40, 815,268,546.60 and 580,877,009.40

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Solution

The fourth proportional to 580,877,009.40, 815,268,546.60 and 580,877,009.40 is: 815,268,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,877,009.40 : 815,268,546.60 = 580,877,009.40 : x
  2. Step 2: Convert to fraction form
    580,877,009.40/815,268,546.60 = 580,877,009.40/x
  3. Step 3: Cross multiply
    580,877,009.40x = 815,268,546.60 × 580,877,009.40
  4. Step 4: Simplify right side
    580,877,009.40x = 473,570,755,206,892,544
  5. Step 5: Solve for x
    x = 473,570,755,206,892,544/580,877,009.40
  6. Step 6: Final answer
    x = 815,268,546.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.