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Finding the Fourth Proportional to 100,742,912.80, 150,940,186.80 and 46,779,546.40

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Solution

The fourth proportional to 100,742,912.80, 150,940,186.80 and 46,779,546.40 is: 70,088,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,742,912.80 : 150,940,186.80 = 46,779,546.40 : x
  2. Step 2: Convert to fraction form
    100,742,912.80/150,940,186.80 = 46,779,546.40/x
  3. Step 3: Cross multiply
    100,742,912.80x = 150,940,186.80 × 46,779,546.40
  4. Step 4: Simplify right side
    100,742,912.80x = 7,060,913,472,035,268
  5. Step 5: Solve for x
    x = 7,060,913,472,035,268/100,742,912.80
  6. Step 6: Final answer
    x = 70,088,438.74

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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.