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Finding the Fourth Proportional to 942,912,109.80, 1,414,368,164.70 and 942,912,109.80

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Solution

The fourth proportional to 942,912,109.80, 1,414,368,164.70 and 942,912,109.80 is: 1,414,368,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,912,109.80 : 1,414,368,164.70 = 942,912,109.80 : x
  2. Step 2: Convert to fraction form
    942,912,109.80/1,414,368,164.70 = 942,912,109.80/x
  3. Step 3: Cross multiply
    942,912,109.80x = 1,414,368,164.70 × 942,912,109.80
  4. Step 4: Simplify right side
    942,912,109.80x = 1,333,624,870,211,230,976
  5. Step 5: Solve for x
    x = 1,333,624,870,211,230,976/942,912,109.80
  6. Step 6: Final answer
    x = 1,414,368,164.70

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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.