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Finding the Fourth Proportional to 947,771,816.80, 1,419,106,808.40 and 947,771,816.80

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Solution

The fourth proportional to 947,771,816.80, 1,419,106,808.40 and 947,771,816.80 is: 1,419,106,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,771,816.80 : 1,419,106,808.40 = 947,771,816.80 : x
  2. Step 2: Convert to fraction form
    947,771,816.80/1,419,106,808.40 = 947,771,816.80/x
  3. Step 3: Cross multiply
    947,771,816.80x = 1,419,106,808.40 × 947,771,816.80
  4. Step 4: Simplify right side
    947,771,816.80x = 1,344,989,438,030,517,504
  5. Step 5: Solve for x
    x = 1,344,989,438,030,517,504/947,771,816.80
  6. Step 6: Final answer
    x = 1,419,106,808.40

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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.