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Finding the Fourth Proportional to 552,101,862.40, 827,449,454.40 and 293,440,998.40

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Solution

The fourth proportional to 552,101,862.40, 827,449,454.40 and 293,440,998.40 is: 439,787,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,101,862.40 : 827,449,454.40 = 293,440,998.40 : x
  2. Step 2: Convert to fraction form
    552,101,862.40/827,449,454.40 = 293,440,998.40/x
  3. Step 3: Cross multiply
    552,101,862.40x = 827,449,454.40 × 293,440,998.40
  4. Step 4: Simplify right side
    552,101,862.40x = 242,807,594,024,671,232
  5. Step 5: Solve for x
    x = 242,807,594,024,671,232/552,101,862.40
  6. Step 6: Final answer
    x = 439,787,674.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.