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Finding the Fourth Proportional to 2,877,199,761.80, 4,032,161,133.40 and 2,877,199,761.80

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Solution

The fourth proportional to 2,877,199,761.80, 4,032,161,133.40 and 2,877,199,761.80 is: 4,032,161,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,199,761.80 : 4,032,161,133.40 = 2,877,199,761.80 : x
  2. Step 2: Convert to fraction form
    2,877,199,761.80/4,032,161,133.40 = 2,877,199,761.80/x
  3. Step 3: Cross multiply
    2,877,199,761.80x = 4,032,161,133.40 × 2,877,199,761.80
  4. Step 4: Simplify right side
    2,877,199,761.80x = 11,601,333,052,557,699,072
  5. Step 5: Solve for x
    x = 11,601,333,052,557,699,072/2,877,199,761.80
  6. Step 6: Final answer
    x = 4,032,161,133.40

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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.