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Finding the Fourth Proportional to 580,496,465.70, 814,990,877.10 and 580,496,465.70

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Solution

The fourth proportional to 580,496,465.70, 814,990,877.10 and 580,496,465.70 is: 814,990,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,496,465.70 : 814,990,877.10 = 580,496,465.70 : x
  2. Step 2: Convert to fraction form
    580,496,465.70/814,990,877.10 = 580,496,465.70/x
  3. Step 3: Cross multiply
    580,496,465.70x = 814,990,877.10 × 580,496,465.70
  4. Step 4: Simplify right side
    580,496,465.70x = 473,099,323,734,293,120
  5. Step 5: Solve for x
    x = 473,099,323,734,293,120/580,496,465.70
  6. Step 6: Final answer
    x = 814,990,877.10

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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.