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Finding the Fourth Proportional to 98,064,000.20, 147,096,000.30 and 82,947,456.20

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Solution

The fourth proportional to 98,064,000.20, 147,096,000.30 and 82,947,456.20 is: 124,421,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,064,000.20 : 147,096,000.30 = 82,947,456.20 : x
  2. Step 2: Convert to fraction form
    98,064,000.20/147,096,000.30 = 82,947,456.20/x
  3. Step 3: Cross multiply
    98,064,000.20x = 147,096,000.30 × 82,947,456.20
  4. Step 4: Simplify right side
    98,064,000.20x = 12,201,239,042,079,438
  5. Step 5: Solve for x
    x = 12,201,239,042,079,438/98,064,000.20
  6. Step 6: Final answer
    x = 124,421,184.30

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Similar ratio
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1.5x scale

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.