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Finding the Fourth Proportional to 974,311,612.80, 1,461,467,419.20 and 974,311,612.80

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Solution

The fourth proportional to 974,311,612.80, 1,461,467,419.20 and 974,311,612.80 is: 1,461,467,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,311,612.80 : 1,461,467,419.20 = 974,311,612.80 : x
  2. Step 2: Convert to fraction form
    974,311,612.80/1,461,467,419.20 = 974,311,612.80/x
  3. Step 3: Cross multiply
    974,311,612.80x = 1,461,467,419.20 × 974,311,612.80
  4. Step 4: Simplify right side
    974,311,612.80x = 1,423,924,678,255,405,568
  5. Step 5: Solve for x
    x = 1,423,924,678,255,405,568/974,311,612.80
  6. Step 6: Final answer
    x = 1,461,467,419.20

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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.