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Finding the Fourth Proportional to 2,040,793,434.40, 2,862,552,764 and 2,040,793,434.40

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Solution

The fourth proportional to 2,040,793,434.40, 2,862,552,764 and 2,040,793,434.40 is: 2,862,552,764

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,793,434.40 : 2,862,552,764 = 2,040,793,434.40 : x
  2. Step 2: Convert to fraction form
    2,040,793,434.40/2,862,552,764 = 2,040,793,434.40/x
  3. Step 3: Cross multiply
    2,040,793,434.40x = 2,862,552,764 × 2,040,793,434.40
  4. Step 4: Simplify right side
    2,040,793,434.40x = 5,841,878,886,394,772,480
  5. Step 5: Solve for x
    x = 5,841,878,886,394,772,480/2,040,793,434.40
  6. Step 6: Final answer
    x = 2,862,552,764

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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.