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Finding the Fourth Proportional to 1,008,039,222.40, 1,512,058,833.60 and 946,817,219.20

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Solution

The fourth proportional to 1,008,039,222.40, 1,512,058,833.60 and 946,817,219.20 is: 1,420,225,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,039,222.40 : 1,512,058,833.60 = 946,817,219.20 : x
  2. Step 2: Convert to fraction form
    1,008,039,222.40/1,512,058,833.60 = 946,817,219.20/x
  3. Step 3: Cross multiply
    1,008,039,222.40x = 1,512,058,833.60 × 946,817,219.20
  4. Step 4: Simplify right side
    1,008,039,222.40x = 1,431,643,340,095,947,520
  5. Step 5: Solve for x
    x = 1,431,643,340,095,947,520/1,008,039,222.40
  6. Step 6: Final answer
    x = 1,420,225,828.80

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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.