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Finding the Fourth Proportional to 944,990,798.40, 1,417,486,197.60 and 944,990,798.40

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Solution

The fourth proportional to 944,990,798.40, 1,417,486,197.60 and 944,990,798.40 is: 1,417,486,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,990,798.40 : 1,417,486,197.60 = 944,990,798.40 : x
  2. Step 2: Convert to fraction form
    944,990,798.40/1,417,486,197.60 = 944,990,798.40/x
  3. Step 3: Cross multiply
    944,990,798.40x = 1,417,486,197.60 × 944,990,798.40
  4. Step 4: Simplify right side
    944,990,798.40x = 1,339,511,413,591,004,160
  5. Step 5: Solve for x
    x = 1,339,511,413,591,004,160/944,990,798.40
  6. Step 6: Final answer
    x = 1,417,486,197.60

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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.