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Finding the Fourth Proportional to 578,899,212.80, 812,608,806.40 and 578,899,212.80

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Solution

The fourth proportional to 578,899,212.80, 812,608,806.40 and 578,899,212.80 is: 812,608,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,899,212.80 : 812,608,806.40 = 578,899,212.80 : x
  2. Step 2: Convert to fraction form
    578,899,212.80/812,608,806.40 = 578,899,212.80/x
  3. Step 3: Cross multiply
    578,899,212.80x = 812,608,806.40 × 578,899,212.80
  4. Step 4: Simplify right side
    578,899,212.80x = 470,418,598,339,307,520
  5. Step 5: Solve for x
    x = 470,418,598,339,307,520/578,899,212.80
  6. Step 6: Final answer
    x = 812,608,806.40

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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.