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Finding the Fourth Proportional to 804,819,106.40, 1,207,228,659.60 and 804,819,106.40

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Solution

The fourth proportional to 804,819,106.40, 1,207,228,659.60 and 804,819,106.40 is: 1,207,228,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,819,106.40 : 1,207,228,659.60 = 804,819,106.40 : x
  2. Step 2: Convert to fraction form
    804,819,106.40/1,207,228,659.60 = 804,819,106.40/x
  3. Step 3: Cross multiply
    804,819,106.40x = 1,207,228,659.60 × 804,819,106.40
  4. Step 4: Simplify right side
    804,819,106.40x = 971,600,691,039,741,696
  5. Step 5: Solve for x
    x = 971,600,691,039,741,696/804,819,106.40
  6. Step 6: Final answer
    x = 1,207,228,659.60

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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.