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Finding the Fourth Proportional to 98,496,837.60, 147,745,256.40 and 57,682,168.80

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Solution

The fourth proportional to 98,496,837.60, 147,745,256.40 and 57,682,168.80 is: 86,523,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,496,837.60 : 147,745,256.40 = 57,682,168.80 : x
  2. Step 2: Convert to fraction form
    98,496,837.60/147,745,256.40 = 57,682,168.80/x
  3. Step 3: Cross multiply
    98,496,837.60x = 147,745,256.40 × 57,682,168.80
  4. Step 4: Simplify right side
    98,496,837.60x = 8,522,266,819,064,080
  5. Step 5: Solve for x
    x = 8,522,266,819,064,080/98,496,837.60
  6. Step 6: Final answer
    x = 86,523,253.20

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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.