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Finding the Fourth Proportional to 99,840,106.40, 140,179,256.80 and 99,840,106.40

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Solution

The fourth proportional to 99,840,106.40, 140,179,256.80 and 99,840,106.40 is: 140,179,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,840,106.40 : 140,179,256.80 = 99,840,106.40 : x
  2. Step 2: Convert to fraction form
    99,840,106.40/140,179,256.80 = 99,840,106.40/x
  3. Step 3: Cross multiply
    99,840,106.40x = 140,179,256.80 × 99,840,106.40
  4. Step 4: Simplify right side
    99,840,106.40x = 13,995,511,913,984,926
  5. Step 5: Solve for x
    x = 13,995,511,913,984,926/99,840,106.40
  6. Step 6: Final answer
    x = 140,179,256.80

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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.