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Finding the Fourth Proportional to 100,742,705.80, 150,862,116.30 and 80,587,313.80

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Solution

The fourth proportional to 100,742,705.80, 150,862,116.30 and 80,587,313.80 is: 120,679,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,742,705.80 : 150,862,116.30 = 80,587,313.80 : x
  2. Step 2: Convert to fraction form
    100,742,705.80/150,862,116.30 = 80,587,313.80/x
  3. Step 3: Cross multiply
    100,742,705.80x = 150,862,116.30 × 80,587,313.80
  4. Step 4: Simplify right side
    100,742,705.80x = 12,157,572,706,800,196
  5. Step 5: Solve for x
    x = 12,157,572,706,800,196/100,742,705.80
  6. Step 6: Final answer
    x = 120,679,433.91

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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.