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Finding the Fourth Proportional to 98,354,311.20, 137,897,589.60 and 98,354,311.20

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Solution

The fourth proportional to 98,354,311.20, 137,897,589.60 and 98,354,311.20 is: 137,897,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,354,311.20 : 137,897,589.60 = 98,354,311.20 : x
  2. Step 2: Convert to fraction form
    98,354,311.20/137,897,589.60 = 98,354,311.20/x
  3. Step 3: Cross multiply
    98,354,311.20x = 137,897,589.60 × 98,354,311.20
  4. Step 4: Simplify right side
    98,354,311.20x = 13,562,822,441,248,284
  5. Step 5: Solve for x
    x = 13,562,822,441,248,284/98,354,311.20
  6. Step 6: Final answer
    x = 137,897,589.60

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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.