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Finding the Fourth Proportional to 552,096,245.80, 828,144,368.70 and 163,978,978.60

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Solution

The fourth proportional to 552,096,245.80, 828,144,368.70 and 163,978,978.60 is: 245,968,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,096,245.80 : 828,144,368.70 = 163,978,978.60 : x
  2. Step 2: Convert to fraction form
    552,096,245.80/828,144,368.70 = 163,978,978.60/x
  3. Step 3: Cross multiply
    552,096,245.80x = 828,144,368.70 × 163,978,978.60
  4. Step 4: Simplify right side
    552,096,245.80x = 135,798,267,712,767,808
  5. Step 5: Solve for x
    x = 135,798,267,712,767,808/552,096,245.80
  6. Step 6: Final answer
    x = 245,968,467.90

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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.