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Finding the Fourth Proportional to 21,275,138,465.60, 29,834,171,454.40 and 21,275,138,465.60

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Solution

The fourth proportional to 21,275,138,465.60, 29,834,171,454.40 and 21,275,138,465.60 is: 29,834,171,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,275,138,465.60 : 29,834,171,454.40 = 21,275,138,465.60 : x
  2. Step 2: Convert to fraction form
    21,275,138,465.60/29,834,171,454.40 = 21,275,138,465.60/x
  3. Step 3: Cross multiply
    21,275,138,465.60x = 29,834,171,454.40 × 21,275,138,465.60
  4. Step 4: Simplify right side
    21,275,138,465.60x = 634,726,128,698,810,957,824
  5. Step 5: Solve for x
    x = 634,726,128,698,810,957,824/21,275,138,465.60
  6. Step 6: Final answer
    x = 29,834,171,454.40

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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.