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Finding the Fourth Proportional to 284,374,943.60, 426,562,415.40 and 251,496,460.40

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Solution

The fourth proportional to 284,374,943.60, 426,562,415.40 and 251,496,460.40 is: 377,244,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,374,943.60 : 426,562,415.40 = 251,496,460.40 : x
  2. Step 2: Convert to fraction form
    284,374,943.60/426,562,415.40 = 251,496,460.40/x
  3. Step 3: Cross multiply
    284,374,943.60x = 426,562,415.40 × 251,496,460.40
  4. Step 4: Simplify right side
    284,374,943.60x = 107,278,937,612,774,448
  5. Step 5: Solve for x
    x = 107,278,937,612,774,448/284,374,943.60
  6. Step 6: Final answer
    x = 377,244,690.60

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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.