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Finding the Fourth Proportional to 801,752,406.10, 1,202,628,609.15 and 801,752,406.10

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Solution

The fourth proportional to 801,752,406.10, 1,202,628,609.15 and 801,752,406.10 is: 1,202,628,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,752,406.10 : 1,202,628,609.15 = 801,752,406.10 : x
  2. Step 2: Convert to fraction form
    801,752,406.10/1,202,628,609.15 = 801,752,406.10/x
  3. Step 3: Cross multiply
    801,752,406.10x = 1,202,628,609.15 × 801,752,406.10
  4. Step 4: Simplify right side
    801,752,406.10x = 964,210,381,030,709,120
  5. Step 5: Solve for x
    x = 964,210,381,030,709,120/801,752,406.10
  6. Step 6: Final answer
    x = 1,202,628,609.15

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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.