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Finding the Fourth Proportional to 1,578,100,259.80, 2,214,177,657.80 and 1,578,100,259.80

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Solution

The fourth proportional to 1,578,100,259.80, 2,214,177,657.80 and 1,578,100,259.80 is: 2,214,177,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,100,259.80 : 2,214,177,657.80 = 1,578,100,259.80 : x
  2. Step 2: Convert to fraction form
    1,578,100,259.80/2,214,177,657.80 = 1,578,100,259.80/x
  3. Step 3: Cross multiply
    1,578,100,259.80x = 2,214,177,657.80 × 1,578,100,259.80
  4. Step 4: Simplify right side
    1,578,100,259.80x = 3,494,194,337,017,535,488
  5. Step 5: Solve for x
    x = 3,494,194,337,017,535,488/1,578,100,259.80
  6. Step 6: Final answer
    x = 2,214,177,657.80

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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.